A cheetah can run at a maximum speed 103 km/h and a gazelle can run at a maximum speed of 76.5 km/h. If both animals are running at full speed, with the gazelle 99.3 m ahead, how long before the cheetah catches its prey?

Answer in units of s.


Part 2: The cheetah can maintain its maximum speed for only 7.5 s. What is the minimum distance the gazelle must be ahead of the cheetah to have a chance of escape? (After 7.5 s the speed of cheetah is less than that of the gazelle.)

Answer in units of m.

Answers

Answer 1

Answer:

1

 [tex] t_a  =  13.49 \  s   [/tex]

2

 The distance is   [tex] D = 55.2 \  m  [/tex]    

Explanation:

From the question we are told that

   The maximum speed of the cheetah is  [tex]v =  103 \  km/h =  28.61 \  m/s[/tex]

    The maximum of  gazelle is  [tex]u =  76.5 \  km/h =  21.25 \  m/s[/tex]

     The distance ahead is [tex]d =  99.3 \  m[/tex]

Let  [tex]t_a[/tex] denote the time which the cheetah catches the gazelle

Gnerally the equation representing the distance the cheetah needs to move in order to catch the gazelle is

           [tex] v* t_a = d +  u* t_a [/tex]

=>          [tex] 28.61 t_a = 99.3 +  21.25t_a [/tex]

=>          [tex] 7.36 t_a = 99.3  [/tex]

=>         [tex] t_a  =  13.49 \  s   [/tex]

Now at t =  7.5 s  

             [tex]7.5 v = D+  7.5u [/tex]

=>          [tex] 28.61 * 7.5  = D +  21.25* 7.5  [/tex]

=>          [tex] 7.36 *  7.5 =D  [/tex]

=>         [tex] D = 55.2 \  m  [/tex]        

Hence the for the gazelle to escape the cheetah it must be 55.2 m


Related Questions

Is silicone a better conductor then silver

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Answer: Silicon is better

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An egg is dropped from the top of the band hall. If the band hall is 25 m
tall, determine the time it takes the egg to hit the ground.

Answers

Answer:

2.26s

Explanation:

The time it takes for the egg to hit the ground can be calculated using the formula:

S = ut + 1/2at²

Where; S = distance of handball from ground (m)

t = time (s)

a = acceleration due to gravity (9.8m/s²)

u = initial velocity = 0m/s

Inserting our values into the formula, we have:

25 = (0 × t) + 1/2 (9.8 × t²)

25 = 0 + 9.8t²/2

25 = 9.8t²/2

25 × 2 = 9.8t²

50 = 9.8t²

t² = 50/9.8

t² = 5.102

t = √5.102

t = 2.258

t = 2.26s

NEED HELP ASAP!!!

If 100 newtons of force are applied over a distance of 50 meters for 5 seconds, how much power is used
2,500 watts
1,000 joules
10 watts
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Answers

Answer:

2,500 watts

Explanation:

I got this answer right on a test. I hope it works for you to.

Answer:

2500 wats

Explanation:

How fast would an inline skater have been traveling if he had covered 400 m in 10
seconds?

Answers

Answer:

The answer is 40 m/s

Explanation:

The speed or velocity of an object given it's distance and time taken can be found by using the formula

[tex]v = \frac{d}{t} \\ [/tex]

From the question we have

[tex]v = \frac{400}{10} \\ [/tex]

We have the final answer as

40 m/s

Hope this helps you

Jupiter’s moon, Ganymede takes 7.15 Earth days to orbit Jupiter. Ganymede is measured to be 7.1 X 10-3 AU from Jupiter’s center. A second moon of Jupiter, Callisto, takes 16.69 Earth days to orbit Jupiter. How far away is Callisto from the center of Jupiter?

Answers

Answer:

0.0124 AU

Explanation:

Ganymede takes 7.15 Earth days to orbit Jupiter. Ganymede is measured to be 7.1 X 10⁻³ AU from Jupiter’s center.

We need to find how far away is Callisto from the center of Jupiter if a second moon of Jupiter, Callisto, takes 16.69 Earth days to orbit Jupiter. Let it is r₂. Using third law of Kepler.

[tex]T^2\propto r^3[/tex]

i.e.

[tex](\dfrac{T_1}{T_2})^2=(\dfrac{r_1}{r_2})^3\\\\\dfrac{r_1}{r_2}=(\dfrac{T_1}{T_2})^{2/3}\\\\r_2=\dfrac{r_1}{(\dfrac{T_1}{T_2})^{2/3}}\\\\r_2=\dfrac{7.1\times 10^{-3}}{(\dfrac{7.15}{16.69})^{2/3}}\\\\r_2=0.0124\ \text{AU}[/tex]

So, Callisto is 0.0124 AU from the center of the Jupiter.

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Answers

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Answer:

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Answer:if i know ill tell u

Explanation:

A ball is projected horizontally from the top of a cliff and free falls to the ground.
Which one of the following statements accurately describes the ball's motion?

Answers

They will both land at the same time.

does changing position of charges change the magnitude

Answers

Answer:

No, they will not change.

Explanation:

"As long as the baseball I hit is
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Answer:

Air resistance is always in play so it always has air resitance no matter what.

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Answer:

Explanation:

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Answer:

1.3s

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How many joules of kinetic energy does the pendulum have when it has 50 J of potential energy?

Answers

Answer:

We do not have the information of the pendulum, so i will answer in a general way.

First, as you know, the total energy can be written as:

E = U + K

Where:

U = potential energy

K = kinetic energy.

Now, by the conservation of energy, we know that E does not change.

This means that if U increases an amount x, then K must decrease by the same amount.

Now, at the maximum height of the pendulum, the velocity is zero, this means that in this point the kinetic energy is 0j.

E = 0 + U

E = U.

Another thing that you may know about pendulums is that, if the initial displacement is by an angle θ, then the angle between the string and the vertical can never be more than θ.

And we know that:

U = m*g*h

in this case, we can write h, the maximum height, as:

h = L*(1 - cos(θ))

Where:

L is the length of the string, g is the gravitational acceleration and m is the mass of the pendulum.

Then the total energy of the pendulum is:

E = m*g*L*(1 - cos(θ))

And we had that:

E = K + U = m*g*L*(1 - cos(θ))

Then, if in a given point we have U = 50j, the kinetic energy must be:

K + 50j = m*g*L*(1 - cos(θ))

K = m*g*L*(1 - cos(θ)) - 50j

An object accelerates from rest to a velocity of 34 m/s
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Answers

Answer:

6.8m/s²

Explanation:

Given parameters:

Initial velocity = 0m/s

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To solve this problem we apply one of the motion equations;

     V²   = U² + 2aS

where V is the final velocity

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Input the parameters and solve;

   34² = 0² + 2 x a x 70

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   a  = 6.8m/s²

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Answers

Answer:

tension

Explanation:

its a feeling

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Answers

Answer:

20.1797 u

Explanation:

Answer:

Hey!

Your answer is that the ATOMIC MASS of Neon is 20.18 to 2 decimal places!

Explanation:

The other way is to round it to the next whole number, which is 20...

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Answers

Answer:

Scientific theories are explanations of some aspect of the natural world based on repeated observations.

Hope this helps!!!!

Answer:

The way that scientists use the word 'theory' is a little different than how it is commonly used in the lay public," said Jaime Tanner, a professor of biology at Marlboro College. "Most people use the word 'theory' to mean an idea or hunch that someone has, but in science the word 'theory' refers to the way that we interpret facts.

Explanation:

Which object has potential energy but not kinetic energy

A. A battery in a pair of headphons
B. A car Slowing down
C. A person Climbing a ladder
D.a person riding an elevator upward

Answers

Answer:

A battery in a pair of headphons

Explanation:

Answer: A

Explanation:

The weight of a box is having a mass of 100 kg is ___n

Answers

Answer: the weight of the box is 980N

Explanation:

The weight an object has is defined as  the force of gravity acting  on that object which is given as

w =m x g

Since weight is defined as a force, it can also be written as

w=mg

= F= mg

where m= mass of the object in kg given as 100Kg

an g is the gravitational acceleration in  m/s^2 =  g is 9.8 m/s2

F= mg

F = 100 kg x 9.8 m/s2

F== 980Kgm/s^2 = 980N

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O
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Answers

The two options would increase the electric force between two charged

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E. decrease the distance between particles.

B. Increase the charge of one of the particles.

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The attractive or repulsive interaction that lies between any two charged objects should be called as the electric force.

When the distance between the particles is decreased and the charge of one particles should be increased so it increased the electric force.

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Learn more about electric force here: https://brainly.com/question/17562167

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Answers

Answer:

220N

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Given that the first time has 4 girls

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we know that the total force on the west must equal the total force on the east

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What is special about decomposers? *

a. they are autotrophs that absorb nutrients that have been digested outside their bodies.
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Answers

D. They are heterotrophs that digest food internally.

An object dropped from rest and falls a distance of 80 m.
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Answers

Answer:

Δx = -80m

Explanation:

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Answers

Answer:

Dynamic Stretching

Explanation:

Dynamic Stretching: Dynamic stretches are controlled movements that prepare your muscles, ligaments and other soft tissues for performance and safety.

Answer:

Stretching such as toe touches

What is the kinetic energy of a baseball traveling at a 25 mi./s with a mass of 0.56KG

Answers

Answer:

453.25 MJ

Explanation:

The formula to find kinetic energy is :

[tex]E_{k} = \frac{1}{2} X m X v^{2}[/tex]

E.k = ?

m = 0.56kg

v = 25mi./s which needs to be converted into metres per second

1mi./s= 1609.34m/s

25 mi./s = 40233.6 m/s.

E.k. = 0.5 × 0.56 × 40233.6²

e.k = 453247919.3J

E.k.= 453.25 MJ

The graph below shows the speed of a car as it drives along a racetrack.





a. When does the car have the highest velocity?

Answers

Answer:

...

Explanation:

....

Which of the following forces does NOT act on an object sliding down an incline plane?

A. force of tension
B. force of gravity
C. normal force
D. force of friction

Answers

A.Force of tensión is the answer

Answer:

d

Explanation:

force of friction.

A car pulling out of a gas station accelerates from rest at a constant rate it covers 1200 meters in 30 seconds. What is the rate of acceleration

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The car accelerates at 40 meters per second.

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Answers

Answer:

Informed Consent- The study didn't conform this ethical standard.

Debriefing- The study conforms this ethical standard.

Confidentiality- The study conforms this ethical standard.

Protection from harm- The study conforms this ethical standard.

Explanation:

Informed consent is described as a procedure whereby researchers tend to provide details about specific research they are going to conduct, the risk & benefits involved in the study, different alternatives involved in the procedure, etc.

Debriefing is described as a process that is being conducted in any of the different psychological research encompassing human participants after specific research is completed. The researcher tends to describe the details of the research to the participants.

Confidentiality is described as one of the different code of ethics followed by health workers or psychologists. While practicing confidentiality, a psychologist tends to promise his or her participants that he or she will keep everything a secret whatever is being discussed or shared between both of them.

Protection from harm determines that the psychologists conducting research follows the ethics in which he or she has to protect all the participants from any kind of harm.

Answer:

I think its A

Explanation:

from the list below, which athlete would need to focus on cardiovascular endurance?

A. Body Builder

B. Baseball Player

C. Marathon Runner

D. Bowler ​

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Answer:

A. body builder

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