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, = 1.0Os 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

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
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 3P: A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial...
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A cheetah is crouched 20m to the east of an observer's vehicle. At timet=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) t?.
(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
Acheetah attacking an antelope from ambush. The animals are not drawn to the same scale as the axis.
Vehicle
(a) The situation
Chectah
Antelope
Vehide
Antelope
x(m)
Vix =?
of
Cheetah
(b) Our sketch
Xo=20.0m x1=?
1=0
X2=?
12=200s
t1-1.00s
50.0 m
Ax=?
Vav-x =?
starts
Transcribed Image Text:A cheetah is crouched 20m to the east of an observer's vehicle. At timet=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) t?. (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 Acheetah attacking an antelope from ambush. The animals are not drawn to the same scale as the axis. Vehicle (a) The situation Chectah Antelope Vehide Antelope x(m) Vix =? of Cheetah (b) Our sketch Xo=20.0m x1=? 1=0 X2=? 12=200s t1-1.00s 50.0 m Ax=? Vav-x =? starts
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