A goalkeeper kicks the ball from his goal area at a velocity of 20 m/s and at an angle of 31° to the horizontal. Calculate: 4.1 The maximum height that the stone reaches

1 answer

To find the maximum height the ball reaches, we can use the following kinematic equation:

v^2 = u^2 + 2as

Where:
v = final velocity at maximum height (0 m/s)
u = initial velocity (20 m/s)
a = acceleration due to gravity (-9.81 m/s^2)
s = vertical displacement (maximum height)

Plugging in the values:

0 = (20)^2 + 2*(-9.81)*s
0 = 400 - 19.62s
19.62s = 400
s = 400/19.62
s ≈ 20.4 m

Therefore, the maximum height the ball reaches is approximately 20.4 meters.