A stone is projected from the ground with velocity 50 ms -1 and angle of 30- It crosses a wall after 3 s- How far beyond the wall the stone will strike the ground- Take g -10 ms -2A- 80-5 mB- 90-6 mC- 86-6 mD- 75-2 m

The correct option is C 86.6 mTime of flight T = 2× 50 ×1210 s = 5 s Time taken by the stone to travel the distance beyond the wall = 5 3 = 2 s Horizonta ...

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Standard XII

Physics

Projectile Time, Height and Range

A stone is pr...

Question

A stone is projected from the ground with velocity $50 m s^{- 1}$ and angle of $30^{\circ}$ . It crosses a wall after $3 s$ . How far beyond the wall the stone will strike the ground?
Take $g = 10 m s^{- 2}$

80.5 m

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90.6 m

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86.6 m

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75.2 m

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Solution

The correct option is C $86.6 m$
Time of flight
$T = \frac{2 \times 50 \times \frac{1}{2}}{10} s = 5 s$
Time taken by the stone to travel the distance beyond the wall $= 5 - 3 = 2 s$
Horizontal distance travelled in last $2$ seconds,
$x = v_{x} \times t = v cos 30^{\circ} \times t = 50 \times cos 30^{\circ} \times 2$
$= 100 \times \frac{\sqrt{3}}{2} m = 50 \sqrt{3} m$
$x = 86.6 m$

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A stone is projected from the ground with velocity 50 ms−1 and angle of 30∘. It crosses a wall after 3 s. How far beyond the wall the stone will strike the ground? Take g=10 ms−2

The correct option is C 86.6 mTime of flight T=2×50×1210 s=5 s Time taken by the stone to travel the distance beyond the wall =5−3=2 s Horizontal distance travelled in last 2 seconds, x=vx×t=v cos 30∘×t=50×cos30∘×2 =100×√32 m=50√3 m x=86.6 m

A stone is projected from the ground with velocity $50 m s^{- 1}$ and angle of $30^{\circ}$ . It crosses a wall after $3 s$ . How far beyond the wall the stone will strike the ground?
Take $g = 10 m s^{- 2}$