A basketball player jumps straight up for a ball. To do this, he lowers his body 0.270 m and then accelerates through this distance by forcefully straightening his legs. This player leaves the floor with a vertical velocity sufficient to carry him 0.940 m above the floor. (a) Calculate his velocity (in m/s) when he leaves the floor. (Enter a number.) m/s (b) Calculate his acceleration (in m/s2) while he is straightening his legs. He goes from zero to the velocity found in part (a) in a distance of 0.270 m. (Enter a number.) m/s² (c) Calculate the force (in N) he exerts on the floor to do this, given that his mass is 112 kg. (Enter a number.) N

An extreme skier, starting from rest, coasts down a mountain that makes an angle of 35.3 ° with the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.115. She coasts for a distance of 18.5 m before coming to the edge of a cliff. Without slowing down, she skis off the cliff and lands downhill at a point whose vertical distance is 4.32 m below the edge. How fast is she going just before she lands?

On an essentially frictionless, horizontal ice rink, a skater moving at 4.0 m/s encounters a rough patch that reduces her speed by 44% due to a friction force that is 28% of her weight.

At a local swimming pool, the diving board is elevated h = 8.5 m above the pool's surface and overhangs the pool edge by L = 2 m. A diver runs horizontally along the diving board with a speed of v0 = 4.2 m/s and then falls into the pool. Neglect air resistance. Use a coordinate system with the horizontal x-axis pointing in the direction of the diver’s initial motion, and the vertical y-axis pointing up.  Determine the horizontal distance, dw in meters, from the edge of the pool to where the diver enters the water.

Emma and Katie are racing along in their new wagon. Upon reaching the bottom of the hill traveling at 13.2 m/s, Katie notices her teddy bear 12.0 m in front of them, panics and locks the brakes sending the wagon into a skid. If the wagon and its contents have a total mass of 1.50 x10^1 kg, and the coefficient of kinetic friction between the road and the rubber wagon tires is (0.75), by how much does the wagon miss the bear?

A boy shoves his stuffed toy zebra down a frictionless chute. It starts at a height of 1.63 m above the bottom of the chute with an initial speed of 1.41 m/s . The toy animal emerges horizontally from the bottom of the chute and continues sliding along a horizontal surface with a coefficient of kinetic friction of 0.273 . How far from the bottom of the chute does the toy zebra come to rest? Assume ?=9.81 m/s2 .

A person steps horizontally off the roof of a single-story house that is 3.1 m high. When his feet hit theground below, he bends his knees such that his torso decelerates over a distance of 0.65 m before coming to astop. If the mass of his torso is 50 kg, what is the average net force exerted on his torso over this distance?

A student is skateboarding down a ramp that is 6.02 m long and inclined at 22.3° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 4.98 m/s. Neglect friction and find the speed at the bottom of the ramp.

You are driving your car on a straight road with a coefficient of friction between the tires and the road of 0.55. A large piece of debris falls in front of your view and you immediate slam on the brakes, leaving a skid mark of 30.5 m (100-feet) long before coming to a stop. A policeman sees your car stopped on the road, looks at the skid mark, and gives you a ticket for traveling over the 13.4 m/s (30 mph) speedlimit. Draw the FBD of the car with complete details.

Suppose I need to  toss an object of mass 5.2 up onto a shelf 5.94 meters above where my hands can reach. What is the minimum speed of toss necessary to do this? Your answer should be in meters per second, but don't write teh unit, just the number. You can approximate the acceleration due to gravity at the earth's surface as 10 meters per square second.