Question

A stone is dropped from a height of 50 m. Calculate the time taken to reach the ground.​

Answer 1

Given:-

• Height = 50m

• Acceleration due to gravity = + 10m/s²

• Initial Velocity of stone = 0m/s

To Find:-

• Time taken to reach the ground.

Formulae used:-

• s = ut + ½ × a × t²

Where,

• s = Distance
• u = Initial Velocity
• a = Acceleration
• t = Time

Now,

→ h = ut + ½ × gt²

→ 50 = 0 × t + ½ × 10 × t²

→ 50 = 0 + ½ × 10 × t²

→ 50 = 5t²

→ t² = 50/5

→ t² = 10

→ √t² = √10

→ t = 3.16s

Hence, The stone will take 3.16 seconds to reach the ground.