1. A bowling ball travelling with a constant velocity hits the pins at the end of a bowling lane 18.03m long. The bowler hears the ball hitting the pins 3.66s after the ball is released from his hands. What is the velocity of the ball? (speed of sound is 343 m/s) 2. Playing jackstone as a kid, you discovered that there is a certain time before the rubber ball falls and you took advantage of this when picking up the stars on the floor. If you threw the ball 3.85m/s up into the air, how fast will it be moving at a height of 46.07cm? How much time has elapsed upon reaching this height? 3. A skydiver jumped out of a plane to shoot a skydiving scene for a certain spy movie. At what point in time should this spy-wannabe open his parachute when he is aware that the plane was at the altitude of 3871.29m, and he needs to open it at a height of 479.26m?

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Chapter1: Units, Trigonometry. And Vectors
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I.
1. A bowling ball travelling with a constant velocity hits the pins at the end of a bowling
lane 18.03m long. The bowler hears the ball hitting the pins 3.66s after the ball is
released from his hands. What is the velocity of the ball? (speed of sound is 343 m/s)
2. Playing jackstone as a kid, you discovered that there is a certain time before the
rubber ball falls and you took advantage of this when picking up the stars on the floor. If
you threw the ball 3.85m/s up into the air, how fast will it be moving at a height of
46.07cm? How much time has elapsed upon reaching this height?
3. A skydiver jumped out of a plane to shoot a skydiving scene for a certain spy movie.
At what point in time should this spy-wannabe open his parachute when he is aware that
the plane was at the altitude of 3871.29m, and he needs to open it at a height of
479.26m?
I.
1. An eagle is flying horizontally at 3.49m/s when the fish in her talons wiggles loose and
falls into the lake 6.91m below. Calculate the time of flight of the fish, the range it
covered and its velocity before hitting the surface of the water.
2. Daredevil is attempting to jump his motorcycle over a line of buses parked end to end
by driving up a 69.00° ramp leaning on the leftmost bus, revving at a speed of 31.71m/s.
How long would the stunt last? How many buses can he clear if the top of the takeoff
ramp is at the same height as the bus, 3.00m, and the buses are 5.34m long?
II.
1. A 28.60kg object speeds up from 15.81m/s to 40.49m/s over a distance of 92.88m.
What is the acceleration of the object? If the frictional force is 15.61N, what is the net
acceleration acting on the object?
2. Goku's birthplace (in Dragon Ball Z universe) is planet Vegeta which has a really high
surface gravity, that is why he can jump really high on Earth because the gravity on the
said planet is really wimpy and cannot hold him down. Up to what height can Goku jump
on planet Vegeta if he can jump on earth up to a height of 3187.84m and the planet
Vegeta has 426.56% stronger gravity? Assume that Goku launched himself on the same
initial velocity for both planets. What is his weight on planet Vegeta if his mass is
96.12kg?
3. A coin dropped from a certain building with a height of 3704.99m. If we hypothetically
assume that the 363.01umol-coin is made of pure nickel and that nickel has a molar
mass of 59g/mol, what is the force of the coin as it hits the asphalt?
Transcribed Image Text:I. 1. A bowling ball travelling with a constant velocity hits the pins at the end of a bowling lane 18.03m long. The bowler hears the ball hitting the pins 3.66s after the ball is released from his hands. What is the velocity of the ball? (speed of sound is 343 m/s) 2. Playing jackstone as a kid, you discovered that there is a certain time before the rubber ball falls and you took advantage of this when picking up the stars on the floor. If you threw the ball 3.85m/s up into the air, how fast will it be moving at a height of 46.07cm? How much time has elapsed upon reaching this height? 3. A skydiver jumped out of a plane to shoot a skydiving scene for a certain spy movie. At what point in time should this spy-wannabe open his parachute when he is aware that the plane was at the altitude of 3871.29m, and he needs to open it at a height of 479.26m? I. 1. An eagle is flying horizontally at 3.49m/s when the fish in her talons wiggles loose and falls into the lake 6.91m below. Calculate the time of flight of the fish, the range it covered and its velocity before hitting the surface of the water. 2. Daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a 69.00° ramp leaning on the leftmost bus, revving at a speed of 31.71m/s. How long would the stunt last? How many buses can he clear if the top of the takeoff ramp is at the same height as the bus, 3.00m, and the buses are 5.34m long? II. 1. A 28.60kg object speeds up from 15.81m/s to 40.49m/s over a distance of 92.88m. What is the acceleration of the object? If the frictional force is 15.61N, what is the net acceleration acting on the object? 2. Goku's birthplace (in Dragon Ball Z universe) is planet Vegeta which has a really high surface gravity, that is why he can jump really high on Earth because the gravity on the said planet is really wimpy and cannot hold him down. Up to what height can Goku jump on planet Vegeta if he can jump on earth up to a height of 3187.84m and the planet Vegeta has 426.56% stronger gravity? Assume that Goku launched himself on the same initial velocity for both planets. What is his weight on planet Vegeta if his mass is 96.12kg? 3. A coin dropped from a certain building with a height of 3704.99m. If we hypothetically assume that the 363.01umol-coin is made of pure nickel and that nickel has a molar mass of 59g/mol, what is the force of the coin as it hits the asphalt?
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