Final answer:
The time required for the ball to hit the ground is approximately 1.8 seconds. The velocity with which it hits the ground is approximately 28 m/s.
Step-by-step explanation:
To find the time required for the ball to hit the ground, we can use the equation:
h = ut + (1/2)gt^2
where h is the vertical distance, u is the initial velocity, g is the acceleration due to gravity, and t is the time. Substituting the given values, we have:
15 = 10t + (1/2)(10)t^2
After solving the quadratic equation, t is approximately 1.8 seconds.
To find the velocity with which the ball hits the ground, we can use the equation:
v = u + gt
Substituting the given values, we have:
v = 10 + (10)(1.8)
After evaluating, v is approximately 28 m/s.