The velocity (in meters per second) of a remote-controlled car for seconds is…

PHYSICS · Multi-part · CBSE · Physics · Motion · Motion

Problem

The velocity

v(t)

(in meters per second) of a remote-controlled car for

0\le t\le 10

seconds is described verbally as follows: •

v(t)

increases linearly from

0\text{ m/s}

t=0

6\text{ m/s}

t=4

. •

v(t)

remains constant at

6\text{ m/s}

for

4<t<7

. •

v(t)

decreases linearly from

6\text{ m/s}

t=7

0\text{ m/s}

t=10

. Assume the graph of

v(t)

consists of the straight-line segments implied by the description. (a) Compute

\displaystyle \int_{0}^{10} v(t)\,dt

. (b) Determine the average velocity on

[0,10]

. (c) Calculate

v(5)

. (d) Compare the results from parts (b) and (c) with justification.