A cheetah is crouched 20m to the east of an observer's vehicle. At time t=0 the cheetah charges an antelope and begins to run along a straight line. During the first 2.0 s of the attack, the cheetah's coordinate x varies with time according to the equation x=20m +(5.0m/s2) t². (a.) Find the displacement of cheetah between t, = 1.0s and t, = 2.0s (b.) Find the average velocity during the same time interval. (c.) Find the instantaneous velocity at t, = 1.0s by taking At = 0.1s, then At = 0.01s then At = 0.001s (d.) Derive a general expression for the instantaneous velocity as function of time and from it find v, at t=1.0 s and t=2.0s

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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A cheetah is crouched 20m to the east of an observer's vehicle. At time t=0 the cheetah charges an antelope
and begins to run along a straight line. During the first 2.0 s of the attack, the cheetah's coordinate x varies
with time according to the equation x=20m +(5.0m/s2) t2.
(a.) Find the displacement of cheetah between t, = 1.0s and t, = 2.0s
(b.) Find the average velocity during the same time interval.
(c.) Find the instantaneous velocity at t, = 1.0s by taking At = 0.1s, then At = 0.01s then At = 0.001s
(d.) Derive a general expression for the instantaneous velocity as function of time and from it find v, at t=1.0 s
and t=2.0s
Transcribed Image Text:A cheetah is crouched 20m to the east of an observer's vehicle. At time t=0 the cheetah charges an antelope and begins to run along a straight line. During the first 2.0 s of the attack, the cheetah's coordinate x varies with time according to the equation x=20m +(5.0m/s2) t2. (a.) Find the displacement of cheetah between t, = 1.0s and t, = 2.0s (b.) Find the average velocity during the same time interval. (c.) Find the instantaneous velocity at t, = 1.0s by taking At = 0.1s, then At = 0.01s then At = 0.001s (d.) Derive a general expression for the instantaneous velocity as function of time and from it find v, at t=1.0 s and t=2.0s
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