A ball is thrown up with initial ovelocity of 40m/s at t=0 find the position and the velocity of the ball at t=3 second (take magnitude of gravity at 10m/s)

Aaron Rodgers throws a football at 20.0 m/s to his wide receiver, who runs straight down the field at 9.4 m/s for 20.0 m. If Aaron throws the football when the wide receiver has reached 10.0 m, what angle does Aaron have to launch the ball so the receiver catches it at the 20.0 m mark?

Verify the ranges for the projectiles in Figure 3.41(a) for =45 and the given initial velocities.

A projectile is fired up an incline (incline angle ) with an initial speed vi at an angle i with respect to the horizontal (i ) as shown in Figure P3.46. (a) Show that the projectile travels a distance d up the incline, where d=2vi2cosisin(i)gcos2 (b) For what value of i is d a maximum, and what is that maximum value?

An airplane flying horizontally with a speed of 500 km/h at a height of 800 m drops a crate of supplies (see the following figure). If the parachute fails to open, how far in front of the release point does the crate hit the ground?

Neglecting air resistance, why would a ball projected horizontally and another ball dropped at the same time from the same initial height hit the ground together?

A home run is hit in such a way that the baseball just clears a wall 21.0 m high, located 130 m from home plate. The ball is hit at an angle of 35.0 to the horizontal, and air resistance is negligible. Find (a) the initial speed of the ball, (b) the time it takes the ball to reach the wall, and (c) the velocity components and the speed of the ball when it reaches the wall. (Assume the ball is hit at a height of 1.00 m above the ground.)

In the blizzard of ’88, a rancher was forced to drop hay bales from an airplane to feed her cattle. The plane flew horizontally at 160 km/hr and dropped the bales from a height of 80 m above the flat range, (a) She wanted the bales of hay to land 30 m behind the cattle so as to not hit them. Where should she push the bales out of the airplane? (b) To not hit the cattle, what is the largest time error she could make while pushing the bales out of the airplane? Ignore air resistance.

You throw a baseball at an initial speed of 15.0 m/s at an angle of 30 with respect to the horizontal. What would the ball’s initial speed have to be at 30 on a planet that has twice the acceleration of gravity as Earth to achieve the same range? Consider launch and impact on a horizontal surface.

An ice hockey player is moving at 8.00 m/s when he hits the puck toward the goal. The speed of the puck relative to the player is 29.0 m/s. The line between the center of the goal and the player makes a 90.0° angle relative to his path as shown in Figure 3.65. What angle must the puck's velocity make relative to the player (in his frame of reference) to hit the center of the goal?