A particle accelerates from rest at a constant rate for sometime and attains a constant velocity of $8\, m s ^{-1}$. Afterwards it decelerates with a constant rate and comes to rest. If the total time taken is $4$ second, the distance travelled is
A car manufacturer advertises that the brakes are so perfect that the car stops instantaneously. Comment.
What does the slope of a displacement$-$time graph represent ? Can displacement$-$time sketch be parallel to the displacement axis ? Give reason to your answer.
If the displacement$-$time graph for a particle is parallel to time axis, what is the velocity of the particle ?
A truck is moving on a straight road with uniform acceleration. The following table gives the speed of the truck at various instants of time.
Speed $\left(m s^{-1}\right)$ | $5$ | $10$ | $15$ | $20$ | $25$ | $30$ |
Time $(s)$ | $0$ | $10$ | $20$ | $30$ | $40$ | $50$ |
Draw the speed-time graph by choosing a convenient scale. Determine from it
$(i)$ the acceleration of truck
$(ii)$ the distance travelled by the truck in $50$ seconds.