1. Aim: How do we solve complicated projectile motion problems?

2. 1. A projectile is fired from a balcony 20 m high an at an angle of 30 degrees above the horizontal. It strikes the ground 10.4s later.
Find the initial speed.
Find the magnitude and direction of the velocity vector.
With the balcony as the origin, find the x and y coordinates of the highest point of motion

4. 2. A cannonball is shot with an initial speed of 50 m/s at a launch angle of 40 degrees toward a castle wall 220 m away. The height of the wall is 30 m. (Neglect air resistance)
How long will it take the cannonball to reach the vertical plane of the wall?
Will the cannonball strike the wall? If the cannonball strikes the wall, how far below the top of the wall does it strike? If the cannonball does not strike the wall, how much does it clear the wall by?

6. 3. An airplane attempts to drop a bomb on a target
3. An airplane attempts to drop a bomb on a target. When the bomb is released, the plane is flying upward at an angle of 30 degrees above the horizontal at a speed of 200 m/s, as shown below. At the point of a release, the plane’s altitude is 2.0 km. The bomb hits the target.

7. 3.
Determine the magnitude and direction of the vertical component of the bomb’s velocity at the point of release.
Determine the magnitude and direction of the horizontal component of the bomb’s velocity at the point when the bomb contacts the target.
Determine how much time it takes for the bomb to hit the target after it is released.
At the point of release, what angle below the horizontal does the pilot have to look in order to see the target?