A ball is gently dropped from a height of 20m. If its velocity increases uniformly at the rate of 10 ms-2, with what velocity will it strike the ground? After what time will it strike the ground?

By Ritesh|Updated : November 4th, 2022

A ball is gently dropped from a height of 20m. If its velocity increases uniformly at the rate of 10 ms-2, with 20 m/s velocity it will strike the ground. After 2s it will strike the ground. Steps to find the time will ball strike the ground:

Step 1: It is given that,

  • Distance traveled by ball S = 20 m
  • Initial velocity u = 0
  • Uniform acceleration a = 10 ms-2
  • Consider the time taken as t.
  • Consider the final velocity as v

Step 2: Now we have to make a final velocity calculation:

Newton's third law of motion states that:

  • v2 = u2 + 2as
  • v2 = 02 + 2 x 10 x 20
  • v = 20 m/s

Step 3: Determine the duration using Newton's first law of motion:

  • v = u + at
  • t = (v - u)/a
  • t = (20 - 0)/10 = 20 m/s/ 10 m/s2
  • t = 2s

As a result, the ball will hit the ground at a 20 m/s velocity at a period of 2 s.

Summary:

A ball is gently dropped from a height of 20m. If its velocity increases uniformly at the rate of 10 ms-2, with what velocity will it strike the ground? After what time will it strike the ground?

A ball is softly dropped from 20m height. It will hit the ground at 20 m/s if its velocity rises uniformly at a rate of 10 ms-2. After two seconds, it will hit the ground. Velocity is the rate of change of position with respect to time.

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