The velocity-time graph of a stone throw...

The velocity-time graph of a stone thrown vertically upward with an initial velocity of `30ms^(-1)` is shown in the figure. The velocity in the upward direction is taken as positive and that in the downward direction as negative. What is the maximum height to which the stone rises?

A

30 m

B

45 m

C

60 m

D

90 m

Verified by Experts

The correct Answer is:

B

`h = (u^(2))/(2a)`, from graph u = 30 m/s, `a = (30)/(3) =10m//s^(2)`

Similar Questions

Explore conceptually related problems

Matching type Question : For a body thrown vertically upwards with initial velocity u

A stone is thrown vertically upwards with a velocity of 4.9 ms^(-1) . Calculate : the maximum height reached.

A stone is thrown vertically upwards with a velocity of 4.9 ms^(-1) . Calculate : the time taken to reach the ground.

A stone is thrown vertically upwards with a velocity of 4.9 ms^(-1) . Calculate : the velocity with which it returns to the ground.

A ball is thrown vertically upwards with a velocity of 49 ms^-1 . Calculate :The maximum height to which it rises

A stone is thrown vertically upwards with a velocity of 4.9 ms^(-1) . Calculate : the time taken to reach the maximum height.

Draw a velocity versus time graph of a stone thrown vertically upwards and then coming downwards after attaining the maximum height .

A rocket is projected vertically upwards and its time velocity graph is shown in the figure-1.115. The maximum height attained by the rocket is :