Question

Asked Dec 16, 2019

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A race car moves such that its position fits the relationship

x= (5.0 m/s)t + (0.75 m/s^{3})t^{3}

where x is measured in meters and t in seconds. (a) Plot a

graph of the car’s position versus time. (b) Determine the

instantaneous velocity of the car at t = 4.0 s, using time intervals

of 0.40 s, 0.20 s, and 0.10 s. (c) Compare the average

velocity during the first 4.0 s with the results of part (b).

Step 1

Given,

The position of the car, x = (5.0m/s)t+(0.75m/s^{3})t^{3}

Step 2

(a)

The position versus time graph of the car is plotted below.

Step 3

(b)

Consider a time interval of 0.40s

At t=3.80s, x=60.2m

At t=4.20...

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