In a  football quarterback throws a ball to a receiver. The quarterback takes the hike from the center. 3.0 seconds later he passes the ball with a velocity of 20 m/s at a 30° angle with the ground. How high did the ball travel? How long was the ball in the air? How far down the field did the ball travel? What speed will the ball hit the ground with and at what angle? With what average velocity will the receiver have to run with in order to catch the ball the moment it gets to the ground? In a baseball game a better pops a ball up at a 70° angle with a velocity of 50 m/s towards the bleachers behind him.  The ball lands on the second seating deck 30 m high.  How high did the ball travel? How long was the ball in the air? How far horizontally did the ball travel? What speed will the ball hit the deck with and at what angle?   A boy throws a snowball off a building 25 m high. He throws the ball upwards at 50 m/s at an angle of 60°.   How high did the snowball travel? How long was the snowball in the air? How far horizontally did the snowball travel? What speed will the snowball hit the ground with and at what angle?   A car slides down a cliff.  The slope of the cliff is 40° with the VERTICAL. The car slides off the cliff at 20 m/s.   How long was the car in the air? How far horizontally did the car travel? What speed will the car hit the ground with and at what angle?   During a motorcycle stunt, Dangerous Daredevil Dan jumps off a ramp at 15° with a speed of 48 m/s. He lands 3.00 m below his starting height. How much time did it take to reach apogee? How much time did it take to land? How much time did it take for him to pass a height that is 5 meters above the starting height and before he reaches the apogee? A car drive off the edge of a cliff at 22m/s. the car leaves the cliff while traveling horizontally. The car is in the air for exactly 3 seconds. How far away, horizontally, was the car when it impacted the ground? What was the car’s impact velocity? (magnitude and direction) How high was the cliff’s edge?

by Tony Wayne ...(If you are a teacher, please feel free to use these resources in your teaching.)