A ball dropping from 70 cm took 0.6 seconds to travel a horizontal distance of 34 cm. Calculate the horizontal velocity of the ping pong ball using the formula:
distance travelled = speed x time
Show your working and give the unit.

vₓ = 0.566 m / s,   W_total = 9.1 J

Explanation:

This exercise is a parabolic type movement, for the x axis where there is no acceleration

         x = v t

         vₓ = x / t

         vₓ = 0.34 / 0.6

         vₓ = 0.566 m / s

the work done is

X axis

In this axis there is no acceleration, therefore the sum of the forces is zero and since the work is the force times the distance, we conclude that the lock in this axis is zero.

        W₁ = 0

Y axis  

in this axis the force that exists is the force of gravity, that is, the weight of the body

         W₂ = Fy y

         W₂ = mg and

          W₂ = m 9.8 0.70

          W₂ = m 9.1

the work is a scalar for which we have to add the quantities obtained

          W_total = W₁ + W₂

          W_total = 0 + 9.1 m

           W_total = 9.1 m

In order to complete the calculation, the mass of the body is needed if we assume that the mass is m = 1

           W_total = 9.1 J

e/c, where e is its total energy