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 + 5t^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 = 1.0 s and t = 2.0 s. Cheetah Venicle to Starts Antelope x(m) Xg 20.0m 50.0 m -10s Ax-? f20s

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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 + 5t^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 = 1.0 s and t = 2.0 s.
Cheetah
Venicle
Starts
Antelope
x (m)
Xo-20.0m
50.0m
f-10s
TAx-?
Var?
f20s
Transcribed Image Text: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 + 5t^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 = 1.0 s and t = 2.0 s. Cheetah Venicle Starts Antelope x (m) Xo-20.0m 50.0m f-10s TAx-? Var? f20s
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