5. A cheetah is crouched 20 m to the east of a vehicle (see figure below). At time t = 0 the cheetah begins to run due east toward an antelope that is 50 m to the east of the vehicle. During the first 2 s of the chase, the cheetah's x-coordinate varies with time according to the equation x = 20 + St^2, where x is in meters and t is in seconds. (a) Find the cheetah's displacement between t = 1 s and t = 2 s. (b) Find its average velocity during that interval. (c) Find its instantaneous velocity at t = 1 s (d) Derive an expression for the cheetah's instantaneous velocity as a function of time, and use it to find the instantaneous velocity at t = 1.0s and t = 2.0 s.

5. A cheetah is crouched 20 m to the east of a vehicle (see figure below). At time t = 0 the cheetah begins to run due east toward an antelope that is 50 m to the east of the vehicle. During the first 2 s of the chase, the cheetah's x-coordinate varies with time according to the equation x = 20 + St^2, where x is in meters and t is in seconds. (a) Find the cheetah's displacement between t = 1 s and t = 2 s. (b) Find its average velocity during that interval. (c) Find its instantaneous velocity at t = 1 s (d) Derive an expression for the cheetah's instantaneous velocity as a function of time, and use it to find the instantaneous velocity at t = 1.0s and t = 2.0 s.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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