One car moving on a straight road covers one third of the distance with 20 km/hr and the rest with 60 km/hr. The average speed is

A bus begins to move with an acceleration of $1\,m{s^{ - 2}}$ . A man who is 48 m behind the bus starts running at $10\,m{s^{ - 1}}$ catch the bus. The man will be able to catch the bus after

A car travels half the distance with constant velocity of 40 kmph and the remaining half with a constant velocity of 60 kmph. The average velocity of the car in kmph is

A particle moves with constant acceleration and ${v_1},{v_2}$ and ${v_3}$ denote the average velocities in the three successive interval ${t_1},{t_2}$ and ${t_3}$ of time. Which of the following relations is correct?

Two bodies are moving along a straight line. The position of the first body is given by $x_1(t) = t + 2t^2$ and the position of the second body is given by $x_2(t) = 3t - t^2$. Find the time at which both bodies have the same speed.

A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km/h. Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km/h. The average speed of the man over the interval of time 0 to 40 min. Is equal to

A car accelerates uniformly from rest to a speed of 20 m/s in 5 seconds. What is its acceleration?

A particle is moving in a straight line with velocity (v) = (t – 4) m/s. What is the average speed between t = 0 to t = 8 second?

If a particle moves with an acceleration, then which of the following can remain constant

Two cars $P$ and $Q$ starts from a point at the same time in a straight line and their positions are represented by ${x_p}(t) = at + b{t^2}$ and ${x_Q}(t) = ft - {t^2}$. At what time do the cars have the same velocity

The $x{\rm{ \;and \;}}y$ coordinates of the particle at any time are $x = 5t - 2{t^2}{\rm{ \;and\; }}y = 10t$ respectively, where $x{\rm{ \;and\; }}y$ are in meters and $t$ in seconds. The acceleration of the particle at $t = 2s$ is