Question

a footballer kicks a ball vertically upwards. initially, the ball is stationary. his boot is in contact with the ball for 0.05s. the average resultant force on the ball during this time in 180N. the ball leaves his foot at 20m/s. calculate the height to which the ball rises. ignore air resistance.

Answer 1

The ball rises to a height of 20.4 meters.

Step-by-step explanation:

Since we know the speed at which the ball starts rising, we can ignore the other data. The height reached by the ball can be obtained using the kinematics equation:

`v^(2)=v_0^(2)-2gy`

Since the velocity at the highest point is zero, we can solve for the height y at that point:

`y=(v_0^(2))/(2g)`

Plugging in the given value for the initial velocity, and assuming that the acceleration due to gravity g is 9.8m/s², we obtain:

`y=((20m/s)^(2))/(2(9.8m/s^(2)))\\\\y=20.4m`

It means that the ball rises to a height of 20.4 meters.