A stone is thrown in vertically upward direction with a velocity of $5 m s^{- 1}$ . If the acceleration of the stone during its motion is $10 m s^{- 2}$ in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?

Height

= 1.25 m

and time

= 0.5 s

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Height

= 2.5 m

and time

= 0.5 s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Height

= 2.5 m

and time

= 0.05 s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Height

= 1.25 m

and time

= 0.05 s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A. Height $= 1.25 m$ and time $= 0.5 s$
Given, initial velocity, $u = 5 m s^{- 1}$
Final velocity, $v = 0$
Since, $u$ is upward & $a$ is downward, it is a retarded motion.
∴ $a = - 10 m s^{- 2}$
Height attained by stone, $s = ?$
Time take to attain height, $t = ?$
(i) Using the relation, $v^{2} - u^{2} = 2 a s$ , we have
$s = \frac{v^{2} - u^{2}}{2 a}$
$= \frac{(0)^{2} - (5)^{2}}{2 \times (- 10)} = 1.25 m$
(ii) Using the relation, $v = u + a t$
$0 = 5 + (- 10) t$ or
$t = 5 / 10 = 0.5 s$

Suggest Corrections

Similar questions

A stone is thrown in a vertically upward direction with a velocity of 5 m/s .If the acceleration of the stone during its motion is 10 m/ $s^{2}$ in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?

A stone is thrown in a vertically upward direction with a velocity of 5 m s⁻¹. If the acceleration of the stone during its motion is 10 m s⁻² in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?

Q. A coin is thrown in a vertically upward direction with a velocity of

5 m s^{- 1}

. If the acceleration of the coin during its motion is

10 m s^{- 2}

in the downward direction, what will be the height attained by the coin and how much time will it take to reach there ?

Q. Question 5
A stone is thrown in a vertically upward direction with a velocity of

5 m s^{- 1}

. If the acceleration of the stone during its motion is

10 m s^{- 2}

in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?

A coin is thrown in a vertically upward direction with a velocity of $5 m s^{- 1}$ . If the acceleration of the coin during its motion is $10 m s^{- 2}$ in the downward direction, what will be the height attained by the coin and how much time will it take to reach there respectively?

Join BYJU'S Learning Program

A stone is thrown in vertically upward direction with a velocity of 5 ms−1. If the acceleration of the stone during its motion is 10 ms−2 in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?

A stone is thrown in vertically upward direction with a velocity of $5 m s^{- 1}$ . If the acceleration of the stone during its motion is $10 m s^{- 2}$ in the downward direction, what will be the height attained by the stone and how much time will it take to reach there?