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Question: A stone thrown vertically upwards from the surface of the moon at velocity of 24 m/sec. reaches a he...

A stone thrown vertically upwards from the surface of the moon at velocity of 24 m/sec. reaches a height of s=24t0.8t2ms = 24t - 0.8t^{2}m after t sec. The acceleration due to gravity in m/sec2 at the surface of the moon is

A

0.8

B

1.6

C

2.4

D

4.9

Answer

1.6

Explanation

Solution

dsdt=\frac{ds}{dt} =velocity = 24 = 24 – 1.6 t

So acceleration at t,t, is [d2sdt2]=1.6\left\lbrack \frac{d^{2}s}{dt^{2}} \right\rbrack = - 1.6

As stone is thrown upwards, so acceleration due to gravity (which acts downwards) = 1.6.