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.

A block slides with constant velocity down an inclined plane that has slope angle 0 = 20.0 °. The block is then projected up the same plane with an initial speed vo = 2.10 m/s. (a) How far up the plane will it move before coming to rest? (b) After the block comes to rest, will it slide down the plane again ("yes" or "no")? Give an argument to back your answer. (a) Number i Units (b)

As illustrated in the figure, consider a soccer player kicking a stationary ball of mass m = 0.5 kg. Assuming that the air resistance is negligible, the ball undergoes a projectile motion (shown in figure). It is recorded that the angle of release of the ball is 0 = 25.2° and the maximum height reached by the ball is h = 4.5 m. If the time during which the foot of the soccer player remained in contact with the ball is At = determine: (a) The speed of release, V, of the ball 0.12 s, (b) The horizontal distance, I, between the initial position of the ball and the landing point (c) The momentum, p, of the ball at the instant of takeoff (d) The magnitude of force, F, applied on the ball by the soccer player У

A small object is initially at rest at the top of a large solid sphere that is fixed on the ground. The small object then begins to slide along the surface of the large solid sphere, without friction. V₁ = 0 RI Part (a) Find the angle at which the small object loses contact with the large solid sphere. Part (b) Find the maximum horizontal distance traveled by the small object before it hits the ground. Take (xi, y₁) = (0,2R) as the coordinates for the top of the large solid sphere.