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NTA Abhyas 2020

Exam: NTA Abhyas
Year: 2020
Subject: Physics
Chapter: Motion in Two Dimensions

NTA Abhyas 2020 · Physics · Motion in Two Dimensions

A stone is projected from the ground with velocity 50ms^ - 1 at an...

A stone is projected from the ground with velocity

50ms^{- 1}

at an angle

30 °

with horizontal. It crosses a wall after

3s .

How far beyond the wall the stone will strike the ground?

\left(g = 10ms^{- 2}\right)

Options

A $90.2m$
B $12.5m$
C $86.5m$
D $216.25m$

Correct answer

C. $86.5m$

Step-by-step solution

Time,

T = \dfrac{2usin \theta}{g}

T = \dfrac{2 \times 50 \times sin {30}^{o}}{10}

= \dfrac{2 \times 50 \times \dfrac{1}{2}}{10} = 5s

Time spent after crossing the wall,

{t}_{2} = 5 - 3 = 2s

∴

Distance,

{x}_{2} = ucos \theta \times {t}_{2}

= 50 \times cos {30}^{o} \times 2

= 50 \times \dfrac{\sqrt{3}}{2} \times 2

= 50\sqrt{3}

= 50 \times 1.73

= 86.5m

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