An object is thrown vertically upwards and rises to a height of 10 m. The velocity with which the object was thrown upwards will be

An object is thrown vertically upwards and rises to a height of 10 m. The velocity with which the object was thrown upwards will be Correct Answer 14 m/s

CONCEPT:

• In classical mechanics when an object is projected upward with some initial velocity, and as it moves upward its initial velocity keeps on decreasing because of gravitational acceleration since it acted downward.
• At the highest point, the final velocity will become zero and the time taken to reach that point can be calculated using a kinematic equation 

v = u + gt

where v = final velocity, u = initial velocity, g = acceleration due to gravity and t = time

Given -

Distance travelled (s) = 10 m,

Final velocity (v) = 0 m/s,

Acceleration due to gravity (g) = 9.8 m/s², 

Acceleration of the object, a = –9.8 m/s² (upward motion)

• The velocity with which the object was thrown upwards will be

⇒ v² = u² + 2as

⇒ 0 = u² + 2 × (–9.8 m/s²) × 10 m

⇒ –u² = –2 × 9.8 × 10 m²/s²

⇒ u = 196 m²/s²