Question

In: Physics

An Olympic diver is on a diving platform 6.40 m above the water. To start her...

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

Solutions

Expert Solution

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


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