If the average velocity of a body is equal to mean of its initial yelocity and final velocity, then the acceleration of the body is

  • A

    uniform

  • B

    variable

  • C

    zero

  • D

    negative

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Two stones are thrown vertically upwards simultaneously with their initial velocities $u _{1}$ and $u _{2}$ respectively. Prove that the heights reached by them would be in the ratio of $u_{1}^{2}: u_{2}^{2}$ (Assume upward acceleration is $-\,g$ and downward acceleration to be $+g$.

How will the equations of motion for an object moving with a uniform velocity change ?

Following figure is the speed-time graph for a rocket from the moment when the fuel starts to burn, i.e. at time $t=0$.

$(a)$ State the acceleration of the rocket at $t=0$.

$(b)$ State what happens to the acceleration of the rocket between $t=5 s$ and $t=60 s$.

$(c)$ Calculate the acceleration of rocket at $t=80 s$ Give reason for your answer.

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Time $(s)$ $0$ $10$ $20$ $30$ $40$ $50$
Speed $\left(m s^{-1}\right)$ $5$ $10$ $15$ $20$ $25$ $30$

$(i)$ Draw the speed$-$time graph representing the above set of observations.

$(ii)$ Find the acceleration of the car.