In: Physics
An Olympic diver is on a diving platform 6.40 m above the water. To start her dive, she runs off of the platform with a speed of 1.21 m/s in the horizontal direction. What is the diver's speed just before she enters the water?
m/s
A football is kicked from ground level with an initial velocity of 20.6 m/s at angle of 57.0° above the horizontal.How long is the football in the air before it hits the ground? Ignore air resistance.
s
1) diver vertical speed before she enters the water = sqrt(2 * 9.8 * h)
= sqrt(2 * 9.8 * 6.40)
= 11.2 m/s
diver horizontal speed before she enters the water = 1.21 m/s
Thus, the diver's speed just before she enters the water = sqrt(11.22 + 1.212)
= 11.265 m/s
2) long is the football in the air before it hits the ground = 2u * sin(theta)/g
= 2 * 20.6 * sin57.0/9.8
= 3.526 sec