A stone is projected from the ground with velocity 50 m s- 1 at an angle 30° with horizontal. It crosses a wall after 3 s. How far beyond the wall the stone will strike the ground? (g = 10 m s- 2)

Question

A stone is projected from the ground with velocity 50 m s- 1 at an angle 30° with horizontal. It crosses a wall after 3 s. How far beyond the wall the stone will strike the ground? (g = 10 m s- 2)  (A) 90.2 m (B) 12.5 m (C) 86.5 m (D) 216.25 m

Tardigrade Admin · Accepted Answer

Time, T=(2 u sin θ /g) T=(2 × 50 × sin 30o/10) =(2 × 50 × (1/2)/10)=5 s Time spent after crossing the wall, t2=5-3=2 s ∴ Distance, x2=ucos θ × t2 =50× cos 30o× 2 =50× (√3/2)× 2 =50√3 =50× 1.73 =86.5 m

Q. A stone is projected from the ground with velocity $50 m s^{- 1}$ at an angle $3 0^{\circ}$ with horizontal. It crosses a wall after $3 s .$ How far beyond the wall the stone will strike the ground? $(g = 10 m s^{- 2})$

$90.2 m$

$12.5 m$

$86.5 m$

$216.25 m$

Q. 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? (g=10ms−2)

90.2m

12.5m

86.5m

216.25m

Time, T=g2usinθ​ T=102×50×sin30o​ =102×50×21​​=5s Time spent after crossing the wall, t2​=5−3=2s ∴ Distance, x2​=ucosθ×t2​ =50×cos30o×2 =50×23​​×2 =503​ =50×1.73 =86.5m

Q. A stone is projected from the ground with velocity $50 m s^{- 1}$ at an angle $3 0^{\circ}$ with horizontal. It crosses a wall after $3 s .$ How far beyond the wall the stone will strike the ground? $(g = 10 m s^{- 2})$

$90.2 m$

$12.5 m$

$86.5 m$

$216.25 m$