A cheetah is squatted 25m to the east of a vehicle. At time t = 0 the cheetah begins to run due east toward an antelope that is 55m to the east of the vehicle. During the first 2.0 s of the chase,the cheetah’s x-coordinate varies with time according to the equationx = 25m + (4.5m/s2)t2. (a) Find the cheetah’s displacement between t1= 1.5s and t2= 3.0 s. (b) Find its average velocity during that interval. (c) Find its instantaneous velocity at t= 2.5s by taking Δt = 0.15s.
A cheetah is squatted 25m to the east of a vehicle. At time t = 0 the cheetah begins to run due east toward an antelope that is 55m to the east of the vehicle. During the first 2.0 s of the chase,the cheetah’s x-coordinate varies with time according to the equationx = 25m + (4.5m/s2)t2. (a) Find the cheetah’s displacement between t1= 1.5s and t2= 3.0 s. (b) Find its average velocity during that interval. (c) Find its instantaneous velocity at t= 2.5s by taking Δt = 0.15s.
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 6P: The position of a particle moving along the x axis varies in time according to the expression x =...
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A cheetah is squatted 25m to the east of a vehicle. At time t = 0 the cheetah begins to run due east toward an antelope that is 55m to the east of the vehicle. During the first 2.0 s of the chase,the cheetah’s x-coordinate varies with time according to the equationx = 25m + (4.5m/s2)t2. (a) Find the cheetah’s displacement between t1= 1.5s and t2= 3.0 s. (b) Find its average velocity during that interval. (c) Find its instantaneous velocity at t= 2.5s by taking Δt = 0.15s.
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