Question

A man throws a tennis ball into the airso that, at the istant when the ball leaves his hand the ball is 2m above the ground and is moving veritcally upwards with 9 m/s⁻¹. The motion of the ball is modelled as that of a particle movingfreely under gravity and the acceleration due to gravity is modelled as being of constant magnitude of 10 m/s⁻¹

The ball hits the ground T seconds after leaving the mans hand. Using the model find the value of T

Answer 1

The time it takes for the tennis ball to hit the ground is 0.18 seconds.

Step-by-step explanation:

In this problem, we can use the equations of motion to find the value of T, which represents the time it takes for the tennis ball to hit the ground. Since the ball starts at a height of 2m and is moving vertically upwards with an initial velocity of 9 m/s upwards, we can use the equation:

T = (2*v0)/g

where v0 is the initial velocity and g is the acceleration due to gravity. Substituting the given values into the equation, we have:

T = (2*9)/10 = 1.8/10 = 0.18 seconds