Projectiles and Vector Review

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1. A football is kicked from a tee with a speed of 24.8 m/s at an angle of 41.0o. How far will the ball fly before hitting the ground?

2. A golfer tees off and hits a drive that has an initial speed of 49.7 m/s at an angle of 36.4o. What is the maximum height reached by the ball?

3. A batter swings and hits a baseball so that the ball leaves the bat parallel to the ground at a speed of 43.8 m/s. If the ball flies a distance of 19.5 m before hitting the ground, a) What was the original height of the ball when it was hit?

b)

What would be the height of the ball above the ground at 0.220 s?

4. If you throw a tennis ball horizontally from a height of 15.0 m, and it hits the ground after flying a distance of 30.0 m, how fast was the ball moving when it was thrown?

5. A meter stick has a mass of 98.6 g and a center of mass located at the 49.92 cm mark. If you hang a 35.6 g mass at the 76.44 cm mark, and a 57.5 g mass at the 43.28 cm mark, where would the center of mass of the system be?

6. Find the X and Y components of the velocity vector V = 16.5 m/s @ 138.4o.

7. A rider on a “tea cup” ride at an amusement park is rotating at 23 rpms. If the radius of the circle that the rider is experiencing is 1.12 m, what is the acceleration of the rider?

8. An archer shoots an arrow at a speed of 39.8 m/s at an angle of 60.0o. a) How long will the arrow remain in flight?

b) How far will the arrow fly?

c) How long will the arrow remain in flight if shot at 39.8 m/s @ 30.0o.?

d) How far will the arrow in part c fly?

e) What would be the maximum distance you could shoot the arrow at a speed of 39.8 m/s?

9. The following three forces are acting on a mass: 15.4 N @ 26.7o, 32.8 N @ 135.8o, and 45.6 N @ -45.0o. Find the resultant force acting on the mass.

10. A batter pops a ball straight up into the air at a speed of 28.4 m/s. How high will the ball go?

11. An arrow is shot at an angle to the ground. If it travels a distance of 100.0 m and reaches a maximum height of 30.0 m, how long was the arrow in flight?

12. A Monkey & Hunter demonstration is set up with a target that is positioned a horizontal distance of 20.0 m from the launcher and 5.00 m above the floor. The launcher is aimed from the floor directly at the target. The launcher fires a projectile with an initial speed of 26.0 m/s. At what height above the floor will the projectile hit the target?

Projectiles and Vector Review

If the ball flies a distance of 19.5 m before hitting the ground, ... cm mark, and a 57.5 g mass at the 43.28 cm mark, where would the center of mass of the system.

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