Horizontal+Projectile+Problems

1. A cannon is shot horizontally at a speed of 360 m/s off of a cliff 135 meters high. How far away from the bottom of the cliff will the cannonball strike the cat which is sleeping on the ground? (Answer: 1890 m)

2. A cat is standing motionless on a long straight sidewalk. Alvin the Accurate is the bombardier in a plane flying westward over this same road, and directly toward the cat with a speed of 315 m/s at an altitude of 2500 meters. How far before the cat must the bomb be released to get a hit? (Answer: 7110 m)

3. Billy the Rooftop Bowler is at it again but he slips and his ball rolls off the edge of his 75 meter tall building at a speed of 12.5 m/s. How far from the building will the ball hit the cat walking across the street below? (Answer: 48.9 m)

4. How long will it take a rock to hit a cat that is 150 meters from the base of a cliff if the cliff is 25 meters tall if the rock is thrown with a horizontal velocity of 67 m/s? (Answer: 2.2 s)

5. How fast must a cannonball be shot horizontally off the top of a 25 meter tall tower if its target, a cat, is 300 meters away? (Answer 133 m/s)

6. A bullet is shot horizontally off a cliff with a speed of 315 m/s. It strikes a cat 553 meters from the base of the cliff. How tall is the cliff? (Answer 15 m)

7. An Olympic diver springs forward of a 10.0 m platform. He enters the water 8.0 m beyond the edge of the platform. How much time does he spend in the air? (Answer: 1.42 s) How fast did he spring forward off the platform? (Answer 5.6 m/s) What was his impact velocity when he entered the water? (Answer: 15 m/s) What angle did he enter the water? (Answer: 68 o below the horizontal)

8. A helicopter drops a relief package to some isolated refugees. The package travels 250 m forward while taking 4 seconds to land after it is released. How high was the helicopter flying when it released the package? (Answer 78 m) How fast was the helicopter flying when it released the package? (Answer 62.5 m/s)

What was the package's impact speed, resultant velocity, when it landed on the island? ( Answer: 73.8 m/s)

At what angle was the package's trajectory with respect to the ground at the instant that it landed? (Answer: 32 o below the horizontal)

If the helicopter pilot does not change his velocity after releasing the package, what will be the position of the helicopter when the package lands? (Answer: 250 m)