Module 3 Review Questions

A cannon fires a shell at 100 m/s. If I wish to hit a target 200 m away, what angle should I position the cannon?

5.6 degrees

A cannon aims to launch a shell at 30°. If I wish to hit a target 200 m away, what should the speed of the shell be as it leaves the cannon?

47.6 m/s

A cannon fires a shell at 100 m/s at an angle of 30°. Where does the shell hit downrange?

884 m

A cannon fires a shell at 100 m/s at an angle of 30°, how long is the shell in the air?

10.02 s

A cannon fires a shell at 100 m/s at an angle of 30°. How high up does it go?

127.51

A quarterback throws a pass at 30 m/s at an angle of 30°. How long does it take the ball to reach the receiver?

3.06 s

A woman can row her canoe at 2.5 m/s. If she faces an opposing current of 3.0 m/s, how fast will she go forward?

-0.5 m/s

A boat is moving at 4 m/s due N with respect to the water. The water is moving at 3 m/s due W with respect to the shore. What is the velocity of the boat with respect to the shore?

5 m/s @ 53.1 W of N

A ship is moving NE at 14 knots. The current here is moving S20°E at 5 Knots. What is the boats velocity with respect to the port?

12.7 knots @ 24.1 N of E

A boat is travelling across the water at 18 km/hr due E. A policeman needs to intercept the boat as quickly as possible but is 100 m due S of the boat at 𝑡=0 𝑠. If the policeman is initially at rest, and can accelerate his jet ski at 1.0!!!, what angle must he travel at to intercept the boat in the shortest possible time?

51.26 degrees

A boat is travelling across the water at 18 km/hr due E. A policeman needs to intercept the boat as quickly as possible but is 100 m due S of the boat at 𝑡=0 𝑠. If the policeman initially at top speed of 24 km/hr, turns to a new heading. What angle must he travel at to intercept the boat in the shortest possible time?

41.4 degrees

A ball is hit by a batter at 30° above horizontal towards the 2.5 m higher outfield ivy covered wall of Wrigley field in Chicago (Home of the Cubs). If the wall is 107.6 m along the right field foul line, at what speed must he hit the ball to get a home run?

50.4 m/s

A ball is hit by a batter at 40 m/s towards the 2.5 m higher outfield ivy covered wall of Wrigley field in Chicago (Home of the Cubs). If the wall is 107.6 m along the right field foul line, between about what horizontal angles must he hit the ball to get a home run?

22.3 to 69.2

Marida is shooting an arrow at a target 30.0 m distant. If she knows the velocity of her arrows are 62 m/s, how high above the bull's eye should she aim to hit it if the target is at shooting height?

1.15 m

A man throws a tomato at a 20 story building 9.0 m away. If he throws the tomato at 20.0 m/s at an angle of 10° to the horizontal, where on the building will the tomato hit?

0.56 m above where he threw it from

The following series of measurements probably obeys which model: 10 cm, 11.2 cm, 12.4 cm, 13.6 cm, 14.8 cm, 15.1 cm

linear because the 1.2 is added to every number