2. A pitcher throws horizontally a fast ball at 157 km/h toward the home plate, which is 18.1 m away. Neglecting air resistance (not a good idea if you are the batter), find how far the ball drops because of gravity by the time it reaches the nome plate. m

A person standing at the top of a hemispherical rock of radius R kicks a ball (initially at rest on the top of the rock) to give it horizontal velocity vi as shown in Figure P3.56. (a) What must be its minimum initial speed if the ball is never to hit the rock after it is kicked? (b) With this initial speed, how far from the base of the rock does the ball hit the ground?

When a field goal kicker kicks a football as hard as he can at 45 to the horizontal, the ball just clears the 3-m- high crossbar of the goalposts 45.7 m away. (a) What is the maximum speed the kicker can impart to the football? (b) In addition to clearing the crossbar, the football must be high enough in the air early during its flight to clear the reach of the onrushing defensive lineman. If the lineman is 4.6 m away and has a vertical reach of 2.5 m, can he block the 45.7-m field goal attempt? (c) What if the lineman is 1.0 m away?

Doha kicks the ball in a parabolic path. The ball leaves the player’s foot with a speed of 20 m/s, making an angle of 40 o with the horizontal. a) Calculate the maximum height of its trajectory  b) Determine its velocity as it hits the ground again. Air resistance is negligible. c) How far from Darshan does the soccer ball land?