A race car moves such that Its position fits the x (6.0 m/s)t+(0.65 m/s3) where

Question

A race car moves such that Its position fits the x (6.0 m/s)t+(0.65 m/s3) where x is measured in meters and t in seconds. (a) A plot of the car's position versus time is which of the following? x (m) x (m) 220 200 25 160 15 10 40 20 t (s) t (s) 1.00 2.00 3.00 4.00 5.00 6.00 1.00 2.00 3.00 4.00 5.00 6.00 x (m) x (m) 160 14 120 60 50 30 10 80 60 20 - t (s) r (s) 1.00 2.00 3.00 4.00 5.00 6.00 1.00 2.00 3.00 4.00 5.00 60 notarmine the instantaneous velocity of the car at t3.5 s, using time intervals of 0.40 s, 0.20 s, and o.10 s. (In order to better

Explanation / Answer

a) since the relationship is cubic thecurve of position vs time cannot be a straght line

also a t=0 x= 0 so option with the cubic graph starting from origin is the one.

b) v = dx/dt = 6+0.65*3*t^2 = 6+1.95t^2

at t = 3.5 s velocity = 6+ 1.95 *3.5^2 = 29.887 m/s

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