A rock is thrown at a 30 degree angle above the horizontal from the edge of a cliff. It hits the water below in .8 secs. If it had been thrown with an initial velocity vector that had the same vertical component and double the original horizontal component, how long would it have taken to hit the ground?

A soccer player can kick the ball 23 m on level ground, with its initial velocity at 43 ∘ to the horizontal. At the same initial speed and angle to the horizontal, what horizontal distance can the player kick the ball on a 16 ∘∘ upward slope?

A novice golfer on the green takes three strokes to sink the ball. The successivedisplacements of the ball are 4.00 m to the north, 2.00 m northeast, and 1.00 m at 30.0°west of south (Fig. P3.21). Starting at the same initial point, an expert golfer couldmake the hole in what single displacement?

Two projectiles are thrown with the same magnitude of initial velocity, one at an angle with respect to the level ground and the other at an angle 90 degrees. Both projectiles will strike the ground at the same distance from the projection point. Will both projectiles be in the air for the same period of time?

In the javelin throw at a track and field event, the javelin is launched at a speed of 8.2 m/s at an angle of 30° above the horizontal. How far has it traveled horizontally (in meters)  after 2.0 seconds?

A shell leaves a mortar with a muzzle velocity of 150 m/s directed upward at 60° withthe horizontal. Determine the x-coordinate position in meters of the shell 20 secondsafter firing.

Suppose that the golf ball is launched with a speed of 25.0 m/s at an angle of 57.5° above the horizontal, and that it lands on a green 3.50 m above the level where it was struck. What horizontal distance (the range) does the ball cover during its flight? What is the maximum height this golf ball goes to?

A helicopter flying horizontally at an altitude of 3 km is on course to pass directly over a cell tower.At the instant when the helicopter is 5 km from the tower, the distance between them is decreasingat the rate of 160 km/h. What is the helicopter’s speed at that time?

In a football game, a player wants to kick the ball as far as possible, but also make sure that it stays in the air as long as possible, so that there is enough time for other players to run down the field and tackle the receiver. If the football is supposed to travel a distance of 49.8 m and stay in the air for 4.41 s, what initial angle and speed does the player have to provide? You can assume that the initial and final vertical coordinate are zero. Hint: Start from the range equation that you derived in class.