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


Related Solutions

A 55-kg diver stands at the end of a diving board located 10 m above the...
A 55-kg diver stands at the end of a diving board located 10 m above the water level.  The diving board is held down at one end by an anchor bolt.  The fulcrum is located at 1.4 m from the bolt and the total length of the board is 3.9 m.   Draw a free body diagram showing the forces acting on the diver. Calculate the torque that she exerts on the board with respect to the fulcrum. Neglect the mass of the...
A diver springs upward from a board that is 2.70 m above the water. At the...
A diver springs upward from a board that is 2.70 m above the water. At the instant she contacts the water her speed is 11.7 m/s and her body makes an angle of 64.4 ° with respect to the horizontal surface of the water. Determine her initial velocity, both (a) magnitude and (b) direction.
A diver springs upward from a board that is 3.70 m above the water. At the...
A diver springs upward from a board that is 3.70 m above the water. At the instant she contacts the water her speed is 12.3 m/s and her body makes an angle of 78.5 ° with respect to the horizontal surface of the water. Determine her initial velocity, both (a) magnitude and (b) direction.
A diver leaves a 3-m board on a trajectory that takes her 2.2m above the board...
A diver leaves a 3-m board on a trajectory that takes her 2.2m above the board and then into the water 2.6m horizontally from the end of the board. Part A At what speed did she leave the board? Express your answer to two significant figures and include the appropriate units. v = SubmitMy AnswersGive Up Part B At what angle did she leave the board? Express your answer using two significant figures. ? =   ?   SubmitMy AnswersGive Up
A diver jumps vertically off a 10m platform, reaches a maximum height of 1.5m above the...
A diver jumps vertically off a 10m platform, reaches a maximum height of 1.5m above the platform, and lands in a swimming pool below. Three seconds after entering the water, her downward motion is stopped. (a) What was her average acceleration in the water? (b) Sketch her position versus time, velocity versus time, and acceleration versus time. Check for consistency between the graphs and explain why your graphs are consistent.
1) Jason Statham jumps off of a diving board which is 3.0 m above the water...
1) Jason Statham jumps off of a diving board which is 3.0 m above the water surface. He lands traveling at 8.90 m/s at an angle of 75° with respect to the horizontal. (a) What was his initial take-off speed and direction? (b) Use the Order of Magnitude sense-making technique to check the validity of your answer to part (a). 2) An astronaut shipwrecked on a distant planet with unknown characteristics is on top of a cliff, which she wishes...
A diver springs off a 10 m high diving board. If he leaves the board with...
A diver springs off a 10 m high diving board. If he leaves the board with an initial upward velocity of 5.0 m/sec, a.) How high will he rise above the diving board? b.) How long will he be in the air before he hits the water?
P1.- A high diver leaves the end of a 5.0 m high diving board and strikes...
P1.- A high diver leaves the end of a 5.0 m high diving board and strikes the water 1.3 s later, 3.0 m beyond the end of the board. Considering the diver as a particle, determine: (a) her initial velocity Vo (b) the maximum height reached, (c) the velocity Vf with which she enters the water. P2.- A rollercoaster moves 200 ft horizontally and then rises 135 ft at an angle of 30 degrees above the horizontal. It next travels...
A diver springs upward from a board that is 3.09 meters above the water. At the...
A diver springs upward from a board that is 3.09 meters above the water. At the instant she contacts the water her speed is 8.52 m/s and her body makes an angle of 71.8° with respect to the horizontal surface of the water. Determine her initial velocity.
A diver of mass m drops from a board 6.00 m above the water's surface, as...
A diver of mass m drops from a board 6.00 m above the water's surface, as shown in the figure. Neglect air resistance. (a) Use conservation of mechanical energy to find his speed 3.00 m above the water's surface. (b) Find his speed as he hits the water. (c) Suppose the diver vaults off the springboard, leaving it with an initial speed of 3.68 m/s upward. Use energy conservation to find his speed when he strikes the water.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT