Physics 12 PROJECTILE MOTION PROBLEM SET - Mr. Tsui Problem set 2 ke… · Physics 12 PROJECTILE...

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Physics 12 PROJECTILE MOTION PROBLEM SET 1.) A ball thrown horizontally at l8m/s from the roof of a building, lands 24m from the base of the building. How high is the building? 2.) An airplane traveling at 150km/h wants to drop supplies to flood victims isolated on a patch of land 200m below. How many seconds before reaching the target should the supplies be dropped? 3.) A football is kicked with a velocity of 2l m/s at 37 o the horizontal. How much later does it hit the ground? How far horizontally does it travel?

Transcript of Physics 12 PROJECTILE MOTION PROBLEM SET - Mr. Tsui Problem set 2 ke… · Physics 12 PROJECTILE...

Page 1: Physics 12 PROJECTILE MOTION PROBLEM SET - Mr. Tsui Problem set 2 ke… · Physics 12 PROJECTILE MOTION PROBLEM SET 1.) A ball thrown horizontally at l8m/s from the roof of a building,

Physics 12 PROJECTILE MOTION PROBLEM SET

1.) A ball thrown horizontally at l8m/s from the roof of a building, lands 24m fromthe base of the building. How high is the building?

2.) An airplane traveling at 150km/h wants to drop supplies to flood victimsisolated on a patch of land 200m below. How many seconds before reachingthe target should the supplies be dropped?

3.) A football is kicked with a velocity of 2l m/s at 37o the horizontal. How muchlater does it hit the ground? How far horizontally does it travel?

Page 2: Physics 12 PROJECTILE MOTION PROBLEM SET - Mr. Tsui Problem set 2 ke… · Physics 12 PROJECTILE MOTION PROBLEM SET 1.) A ball thrown horizontally at l8m/s from the roof of a building,

4.) An athlete throws a shotput (mass 7.3kg) with an initial velocity of l4m/s at 40o

to the horizontal. The shot leaves the hand at a height of 2.2m above theground. Calculate the distance (range) of the shot.

5.) A long jumper leaves the ground at an angle of 30o and travels 8.9m. What wastheir take-off speed?

Page 3: Physics 12 PROJECTILE MOTION PROBLEM SET - Mr. Tsui Problem set 2 ke… · Physics 12 PROJECTILE MOTION PROBLEM SET 1.) A ball thrown horizontally at l8m/s from the roof of a building,

PROJECTILE MOTION PROBLEM SET (use g = 10 m/s2)

1. The fastest recorded pitch was clocked at 160 km/h. If a pitch were thrown horizontally withthis velocity, how far would the ball fall vertically by the time it reached home plate, 20 maway? [ - 0.99m]

2. A place kicker must kick a football from a point 36.0 m from the goal, and the ball must clearthe cross bar, which is 3.05 m high. When kicked, the ball leaves the ground with a speedof 20.0 m/s at an angle of 53 to the horizontal. (a) By how much does the ball clear or fallshort of the crossbar? (b) Does the ball approach the crossbar while still rising or whilefalling? [a = 0.85 m, b = falling at -13 m/s]

3. A Student stands at the edge of a cliff and throws a stone horizontally over the edge with aspeed of 18.0 m/s The cliff is 50 m above a flat horizontal beach. (a) How long after beingreleased does the stone strike the beach below the cliff? (b) With what speed and angle ofimpact does it land? [a = 3.16 s, b = 36.0 m/s 60° below horizontal]

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4. Tom the cat is chasing Jerry the mouse across a table surface 1.5 m off the floor. Jerry stepsout of the way at the last second, and Tom slides off the edge of the table at a speed of 5.0m/s. Where will Tom strike the floor, and what velocity components will he have justbefore he hits? [d = 2.75 m, vx = 5.0 m/s, vy = -5.4 m/s]

5. A person can run at 10 m/s. She jumps from one cliff at an angle of 40 towards another cliff10.1 m away at the same level. Does she make it? [no, she falls short by 0.07m]

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6. A cannon fires a shell at 300 m/s. At what angle must it aim to hit a target 5.0 km away?[16.5°, recall that 2sincos = sin 2]

7. A ball is thrown towards a building 60 m away with a speed of 25 m/s at an angle of 50 fromthe horizontal. (a) Where will it strike the building? (b) Where will it strike the ground(assume an elastic collision) [ 1.8 m high, -2.7 m from base of wall]