cowww. dep 1690345429 A Face car moves such that its position its the relatonsp

Question

cowww. dep 1690345429 A Face car moves such that its position its the relatonsp where x is measured in meters and t in seconds (a) A plot of the car's position versus time which of the following? x (am) x(m) 1.00 2.00 3.00 4.00 5.00 6.00 r (s) 1.00 2.00 3.00 4.00 5.00 600 x(m) 30 25 20 100 200 3.00 400 5.00 6.00 100 2.00 3.00 4.00 500 600 (b) Determine the instantaneous velocity of the car at t-4.7s, using time intervals of 0.40 s, 0.20s and 0.10s. (In order to better see the Imting process keep at lnast three decimal places in your answer) r-0.40 s ar 0.20 s -0.10 s m's (Use the interval from -4.50s to 4.90 ) m/s (Use the interval from f 4.60s to 4.80 s) mýs (Use the interval from t4.65 s to 4.75 s) Activate Windows (c) Compare the average velooity during the first 4.7 s with the results of part (b) The average velocity of m/s is Selecs O Type here to search

Explanation / Answer

at t = 0

x = 0

t = 2 sec

x = 16.2 m

t = 4 sec

x = 75.6 m

option a is the right answer

b) v = dx/dt = 4.5+3*0.9*t^2 = 4.5+2.7 t^2

at 4.7 sec

v = 64.14 m/s

vag = x2-x1/t2-t1

at 4.5 sec x = 102.62 m

at 4.9 sec x = 127.93 m

v avg = 127.93-102.62/0.4 = 63.325 m/s

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