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A cheetah is crouched 20 m to the east of an observer. At time t = 0 s, the cheetah begins to run due east toward an antelope that is 50 m to the east of the observer. During the first 2.0 s of the attack, the cheetah's coordinate x varies with time according to the equation x = 20 + 5t?. (a) Find the cheetah's displacement between t1 = 1.0 s and t2 = 2.0 s. (b) Find its average velocity during that interval. (c) Derive an expression for the cheetah's instantaneous velocity as a function of time, and use it to find Vy at t = 1.0 s and t = 2.0 s.

A cheetah is crouched 20 m to the east of an observer. At time t = 0 s, the cheetah begins to run due east toward an antelope that is 50 m to the east of the observer. During the first 2.0 s of the attack, the cheetah's coordinate x varies with time according to the equation x = 20 + 5t?. (a) Find the cheetah's displacement between t1 = 1.0 s and t2 = 2.0 s. (b) Find its average velocity during that interval. (c) Derive an expression for the cheetah's instantaneous velocity as a function of time, and use it to find Vy at t = 1.0 s and t = 2.0 s.

Principles of Foundation Engineering (MindTap Course List)
Principles of Foundation Engineering (MindTap Course List)
9th Edition
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter16: Lateral Earth Pressure
Section: Chapter Questions
Problem 16.9P
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A cheetah is crouched 20 m to the east of an observer. At time t = 0 s, the cheetah begins to run due east toward an antelope that is 50 m to the east of the observer. During the first 2.0 s of the attack, the cheetah's coordinate x varies with time according to the equation x = 20 + 5t?. (a) Find the cheetah's displacement between t1 = 1.0 s and t2 = 2.0 s. (b) Find its average velocity during that interval. (c) Derive an expression for the cheetah's instantaneous velocity as a function of time, and use it to find Vy at t = 1.0 s and t = 2.0 s.
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