1.1 A ball is thrown from a point 1.35 m above the ground. The initial velocity is 19.9 m/s at an angle of 25.0 above the horizontal. Find the maximum height of the ball above the ground.

1.2. Calculate the speed of the ball at the highest point in the trajectory.

2.1 A catapult on a cliff launches a large round rock towards a ship on the ocean below. The rock leaves the catapult from a height H of 35.0 m above sea level, directed at an angle above the horizontal with an unknown speed v0.

The projectile remains in flight for 6.00 seconds and travels a horizontal distance D of 140.0 m. Assuming that air friction can be neglected, calculate the value of the angle .

2.2 Calculate the speed at which the rock is launched.

2.3 To what height above sea level does the rock rise?

3.1 A stone thrown horizontally from a height of 6.07 m hits the ground at a distance of 12.10 m. Calculate the initial speed of the stone. Neglect air resistance.

3.2 Calculate the speed of the stone as it hits the ground. Neglect air resistance.

4. A boy standing in a ditch throws a baseball upward toward his father. The ball leaves his hand at ground level, with an initial speed of 17.0 m/s, at an angle of = 43, from the horizontal.

The boy's father reaches up and catches the ball over his head, at a height of 2.0 m above the ground. The father catches the ball on its way down (as shown in the Figure). Calculate how long the ball is in the air. ( g = 9.81 m/s^2)

5.1. An arrow is shot into the air at an angle of 60.4 above the horizontal with a speed of 20.5 m/s. What is the x-component of the velocity of the arrow 3.30 s after it leaves the bowstring?

5.2. What is the y-component of the velocity of the arrow 3.30 s after it leaves the bowstring?

5.3. What is the x-component of the displacement of the arrow during the 3.30-s interval?

5.4. What is the y-component of the displacement of the arrow during the 3.30-s interval?

6. The citizens of Paris were terrified during World War I when they were suddenly bombarded with shells fired from a long-range gun known as Big Bertha. The barrel of the gun was 36.6 m long and it had a muzzle speed of 1.45 km/s. When the gun's angle of elevation was set to 52.4, what would be the range? For the purposes of solving this problem, neglect air resistance.

7. A helicopter is flying horizontally at 8.39 m/s and an altitude of 16.1 m when a package of emergency medical supplies is ejected horizontally backward with a speed of 10.5 m/s relative to the helicopter. Ignoring air resistance, what is the horizontal distance between the package and the helicopter when the package hits the ground?