1.10 Projectile Motion ** Extra Challenge questions 1. Rank the vector from largest to smallest vertical component: 1. 10 m/s [ 40 above the horizontal] ii. 10 m/s [ 550 above the horizontal] iii. 10 m/s [ 70 above the horizontal] 2. In the absence of air resistance, why does the horizontal component of velocity for a projectile such as a bullet remain constant while the vertical component changes? 3. How does the downward component of projectile motion compare with freefall motion? 4. Use terms we learned about one dimensional motion to describe the following components of projectile motion: a. Vertical component b. Horizontal component 6. A bullet is fired horizontally at a height of 1.5 metres at a velocity of 900.0 m/s. Assume no air resistance. a. How long until the bullet reaches the ground? b. What is the range of the bullet (how far does it travel horizontally)? 7. An egg is thrown horizontally off the roof of a building, which is 60.0 m tall, and with an initial velocity of 6.5 m/s. a. How long does it take to hit the gound? b. . How far does it travel horizontally (range)? 8. A cannonball is fired at a 45.0 angle above the horizontal and an initial velocity of 600. m/s. Assume no air resistance. a. What is the vertical component of the cannonball's velocity? b. What is the horizontal component of the cannonball's velocity? c. How long until the cannonball hits the ground? d. How high did the cannonball travel? How far did the cannonball travel horizontally when it hit the ground? 10. A bullet is fired at an angle of 60. degrees above the horizontal with an initial velocity of 200. m/s. a. How long is the bullet in the air? b. What is the maximum height reached by the bullet?11. A diver jumps UP off a pier at an angle of 25 degrees to the horizontal with an initial velocity of 3.2 m/s. How far from the pier will the diver hit the water? The water is at the same level as the pier. 12. **Jason Kendall throws a baseball with a horizontal component of velocity of 25 m/s. It takes 3.00 seconds to come back to its original height. Calculate: a. Its horizontal range. b. Its initial vertical component of velocity c. Its initial angle of launch 13. **Wile E. Coyote is holding a "Heavy Duty ACMETM Anvil" on a cliff that is 40.0 m above a road. The Roadrunner (who is 1.00 m tall) is running on the road approaching the cliff at a constant velocity of 10.0 m/s. If Wile E. Coyote wants to drop the anvil right on the Roadrunner's head, how far away should the Roadrunner be when Wile E. Coyote drops the anvil? Solutions 8) See below 1) From smallest y-comp to largest: 25, 40, 55, a) 424. m/s and 70 b) 424. m/s c) 86.5 s 2) Gravity as a force acts only in the vertical d) 9.18 x 10^3 m direction, so it can only modify motion in the e) 3.67 x 10^4 m vertical direction. Since the horizontal motion isn't being affected, the horizontal velocity 9) See Below won't be affect either. a) 30. m/s b) 52 m/s 3) It follows the exact same trend as free-fall, C) 6.1s because in both cases the only thing affecting d) 46 m the object is the acceleration of gravity in the e) 3.2 x 10^2 m vertical direction. 4) See Below a) Accelerated motion, this means the vertical 10) See Below velocity is changing due to gravity (a a) 35 s constant acceleration) b) 1.5 x 1013 m b) Constant motion, this means the horizontal velocity is steady and not changing 11) 0.80 m 5) See below 12) See Below a) 0.78 s a) 75 m b) 47 m b) 15 m/s c) 30.50 6) See below a) 0.55 s 13) The Roadrunner should be 28.2 m away before b) 5.0 x 10^2 m (497.8 m before rounding) the Coyote drops the anvil 7) See Below a) 3.5 s b) 23 m