The cheetah can reach a top speed of 114 km/h (71 mi/h).While chasing its prey in a short sprint, a cheetah starts fromrest and runs 45 m in a straight line, reaching a final speed of 72km/h. (a) Determine the cheetah’s average acceleration duringthe short sprint, and (b) find its displacement at t = 3.5 s.

The cheetah can reach a top speed of 114 km/h (71 mi/h).While chasing its prey in a short sprint, a cheetah starts fromrest and runs 45 m in a straight line, reaching a final speed of 72km/h. (a) Determine the cheetah’s average acceleration duringthe short sprint, and (b) find its displacement at t = 3.5 s.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 23P: The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows...

See similar textbooks

Similar questions

A certain aircraft has a liftoff speed of 119 km/h. What minimum constant acceleration does the aircraft require if it is to be airborne after a takeoff run of 256 m? And How long does it take the aircraft to become airborne?
A baseball is pitched, reaching the batter with a speed of 37 m/s, and is hit such that it returns on the same line at 48 m/s. If the ball was in contact with the bat for .22 seconds, what was the magnitude of the average acceleration experienced by the ball during the time of contact?
Is it possible for speed to be constant while acceleration is not zero?
The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows uniformly with an acceleration of 5.60 m/s2 for 4.20 s, making straight skid marks 62.4 m long, all the way to the tree. With what speed does the car then strike the tree?
The acceleration of a particle along a straight line is defined by a=(2t- 9) m/s^2 , where t is in seconds. At t = 0, s = 1 m and v = 10 m/s. When t = 9 s, determine (a) the particle’s position, (b) the total distance traveled, and (c) the velocity.
A jetliner, travelling northward, is landing with a speed of 69 m/ s. Once the jet touches down, it has 750 m of runway in which to reduce its speed to 6.1 m/ s. Compute the average acceleration (magnitude and direction) of the plane during landing.
The acceleration of a particle is given by ax(t)=−2.00m/s2+(3.00m/s3)t. Find the initial velocity v0x such that the particle will have the same x-coordinate at time t = 4.93 s as it had at t=0.
A typical jetliner lands at a speed of 160 mi/h and decelerates at the rate of (10.0 mi/h)/s. If the plane travels at a constant speed of 160 mi/h for 1.00 s after landing before applying the brakes, what is the total displacement of the aircraft between touchdown on the runway and coming to rest?
A sperm whale can accelerate at about 0.140 m/s^2 when swimming on the surface of the ocean. How far will it travel if it starts at a speed of 1.20 m/s and accelerates to a speed of 2.5 m/s? Assume the whale travels in a straight line.
A certain aircraft has a liftoff speed of 113km / h .What minimum constant acceleration does the aircraft require if it is to be airborne after a takeoff run of 239 m? How long does it take the aircraft to become airborne?
One simple model for a person running the 100 m dash is to assume the sprinter runs with constant acceleration until reaching top speed, then maintains that speed through the finish line. If a sprinter reaches his top speed of 11.1 m/s in 2.54 s, what will be his total time?
A car is travelling at a constant speed of 100 km.hr at the highway when the driver noticed that the bridge 10 m away is cut off. If the driver immediately applied the brakes upon noticing the cut off bridge, what must be his deceleration so he would not fall to the river?