A body is thrown vertically upward with velocity u , greatest height h to which it will rise is,

English

Gujarati

Hindi

7. MOTION

medium

A body is thrown vertically upward with velocity $u$, the greatest height $h$ to which it will rise is,

A

$u/g$

B

$u^2/2g$

C

$u^2/g$

D

$u/2g$

Solution

The body that is thrown vertically upward with velocity $u$ will have final velocity $v =0$ at the greatest height $h$.

Substituting the given values in the third equation of motion, $v^{2}=u^{2}+2$ as we have $0=u^{2}-2 g h$. (taking $g$ in the upward direction)

$h=\frac{u^{2}}{2 g}$

Standard 9

Science

Share

Similar Questions

Obtain a relation for the distance travelled by an object moving with a uniform acceleration in the interval between $4^{th}$ and $5^{th}$ seconds.

hard

A car is moving on a straight road with uniform acceleration. The following table gives the speed of the car at various instants of time.

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.

medium

What conclusion can you draw from the displacement$-$time graph of a body shown below ?

easy

Give one example for each of the type of motion when

$(i)$ acceleration is in the direction of motion.

$(ii)$ acceleration is against the direction of motion.

$(iii)$ acceleration is uniform.

medium

$(a)$ Define uniform circular motion.

$(b)$ Is the uniform circular motion an accelerated motion? Give reasons for your answer.

medium