99 Percentile Qs Bank for JEE MainPhysicsMotion in Two Dimensions
A stone is thrown at 25 m / s at 53 o above the horizontal. At what time its velocity is at 45 o below the horizontal?
Options
- A0.5 s
- B4 s
- C3.5 s
- D2.5 s
Correct answer
C. 3.5 s
Step-by-step solution
Horizontal component of velocity, throughout the motion remain constant using u c o s θ = v c o s α 25 cos 53 ° = v cos 45 ° ⟹ v = 25 × 3 5 . 2 = 15 2 ⟹ v y = v sin 45 = 15 Now using V y = u y + a y t i n y - direction, - 15 = 25 sin 53° - g t - 15 =25 × 4 5 - 10 t ⟹ t = 3.5 sec