Page 63 - Schaum's Outline of Theory and Problems of Applied Physics

48 MOTION IN A VERTICAL PLANE [CHAP. 4

4.16. A shell is fired at an angle of 40 above the horizontal at a velocity of 300 m/s. (a) What is its range? (b) What is its
◦
time of flight?
4.17. A golf ball leaves the club 40 m/s at an angle of 55 above the horizontal. (a) What is its range? (b) What is its time
◦
of flight?
4.18. A rifle bullet has a muzzle velocity of 200 m/s. (a) At what angle should the rifle be pointed to achieve the maximum
range? (b) What is that range? (c) What is the time of flight at the maximum range?
4.19. An arrow leaves a bow at 25 m/s. (a) What is its maximum range? (b) At what two angles can it be sent above the
horizontal to reach a target 50 m away?
4.20. A soccer ball that was kicked at an angle of 40 above the horizontal strikes the ground 25 m away. What was its
◦
initial velocity?

Answers to Multiple-Choice Questions

4.1. (b) 4.7. (c)
4.2. (b) 4.8. (c)

4.3. (d) 4.9. (c)

4.4. (c) 4.10. (b)
4.5. (b) 4.11. (b)

4.6. (b) 4.12. (d)

Answers to Supplementary Problems

4.1. The squirrel should stay where it is. If it drops, it will fall with the same acceleration as the bullet and so will be
struck.
4.2. (a) 29.4 m/s (b) 44.1 m (c) 34.3 m

4.3. (a) 4.04 s (b) 19.8 m/s (c) 19.8 m/s

4.4. (a) 9.5 s (b) 305 ft/s

4.5. (a) 123 m (b) 49 m/s (c) 44 m
4.6. (a) 13.7 m/s (b) 43.3 m/s

4.7. (a) 7.1 m (b) 4.4 m (c) 7.3 m

4.8. (a) 4.9 m (b) 19.6 m
4.9. (a) 16.9 m (b) 43.6 m