Projectile motion assignment

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Projectile motion assignment

1.   During an action movie stunt Bourne runs off the roof of one building and falls to the roof of another that is horizontally 6 m away from the first building and 3.0 m below the height of the first.

a.   If we assume he simply runs off the first building with a horizontal velocity, how fast must he be

travelling when he leaves the first building to complete the leap? (8 m/s)

b.   What is his velocity when he lands on the roof of the second building? (11 m/s [F45oD])

c.   Would he need to run any quicker if he was wearing a knapsack filled with weapons and cash? (No)

2.   A “superball” rolls off a horizontal table top that is 1.5 m above the floor.  Determine the horizontal

distance from the table the ball lands on its second contact/bounce with the floor if it starts with an initial horizontal velocity of 2.75 m/s. (Assume that all of its energy is converted to speed on the first bounce.)   (4.6 m)

3.   Splat, the human cannonball is fired from a cannon with a velocity of 135 km/h [forward 35o up].

a.   How far in front of the cannon should the safety net be located? (130 m [F])

b.   How high must the circus tent roof be in order for him not to hit the ceiling of the tent during his “trip”? (24 m)

c.   What would be the maximum horizontal range he could possibly attain with the same muzzle speed? (144 m)

4.   Renaldo needs to kick a pass to his teammate who is 25 m down the field from his current location.  If he kicks the ball at an angle of 35o to the horizontal how fast must he deliver the ball to make the 25 m

horizontal range? (16 m/s)

5.   A cat is fired from a CAT-a-pult with an initial velocity of 25 m/s [forward 55oup].  It leaves the catapult at a height of 4.5 m a “flies” through the air toward its landing zone.  At what horizontal distance from

the catapult would a “cat lover” place a bucket of baked beans to save the kitty from injury? (63 m)

6.   Snake, the stupid snowboarder, slides down his parents’ roof and onto the front lawn.  He starts at the top of the roof from rest and slides down the 15 m roofline at an angle of 18o to the horizontal.  He leaves the roof at a height of 3.5 m and travels horizontally a distance of 3.0 m before crashing to the ground.

a.   How fast was he travelling when he left the roof? (4.6 m/s)

b.   What was the rate of acceleration as he slid down the roof? (0.64 m/s2)

7.   Constance the coconut farmer wishes to knock a premium coconut out of a tree by throwing her

TI-nspire calculator at it.  She determines the coconut is 8.2 m above the ground.  She also determines   that she can throw a TI-nspire calculator with the most efficiency at a velocity of 17.8 m/s [forward 65o up].  How far must she be horizontally in front of the coconut to hit it;

a.   as the calculator is rising? (4.7 m)

b.   as the calculator is falling? (2.0 x 101 m)

8.   A tennis net is 0.91 mhigh and 11.9 m from the baseline (where the server must hit the ball from).  A

tennis player hits a ball from a height of 3.0 m at a speed of 21.0 m/s in a direction headed toward the top of the net.  How far above the ground does the ball hit the net? (The ball hits the ground 1.7 m in front of the net.)