Question

A child drop a ball from a height of 10m/s2 findThe velocity with which the ball strikes the ground The time taken by the ball to reach the ground

Answer 1

Mistakes in the question!

Q = A child drop a ball from a height of 10 m. If its velocity increases uniformly at the rate of 10 m/s². Find the velocity with which the ball strikes the ground and the time taken by the ball to  reach ground.

Answer:

Acceleration(a) = 10 m/s²
Initial Velocity(u) = 0 m/s
Final velocity be 'v' m/s
g = 10 m/s²

Now We can use equation of motion:

v² + u² = 2gh
v = √2gh
   = √200 
   =  10√2 m s⁻¹

Now, Let the time be 't' sec.

Equation of motion:

h = ut + 1/2gt²
h = 1/2gt²
t = √(2h/g)
t = √2 sec

∴ Velocity = 10√2 m s⁻¹ ← (Answer)
∴ Time = √2 second  ← (Answer)

Good Studies!

Answer 2

Mistakes in the question !

Q = A child drop a ball from a height of 10 m. If its velocity increases uniformly at the rate of 10 m/s². Find the velocity with which the ball strikes the ground and the time taken by the ball to  reach ground.

    ANSWER    

Acceleration(a) = 10 m/s²

Initial Velocity(u) = 0 m/s

Final velocity be 'v' m/s

g = 10 m/s²

Now Using equation of motion:

v² + u² = 2gh

v = √2gh

  = √200

  =  10√2 m s⁻¹

Now, Let the time be 't' sec.

Equation of motion:

h = ut + 1/2gt²

h = 1/2gt²

t = √(2h/g)

t = √2 sec

∴ Velocity = 10√2 m s⁻¹

∴ Time = √2 second