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Scalars and Vectors
General Knowledge
Horizontal Motion
Freefall Motion
Projectile Motion
100
Explain the difference between a scalar and a vector.
A vector has a size (magnitude) and direction, whereas, a scalar only has a size (magnitude).
100
Draw a position versus time graph of an object with a constant velocity that is not 0.
Teacher will decide if it is correct (should have a line with the same slope).
100
An airplane travels 4500 km (west) at an average velocity of 546 km/h. How long does this journey take the airplane?
The journey takes the airplane 8.2 hours or 8 hours and 12 minutes.
100
What is the acceleration of gravity?
- 9.8 m/s^2
100
True/False - The horizontal velocity of an object fired with a horizontal projectile motion is always changing.
False.
200
An object moves 30 m (north) and then 50 m (south) and finally 60 m (north). What is the distance traveled and the displacement of the object?
Distance = 140 m Displacement = 40 m (north)
200
True/False - Even though a car is slowing down it is still accelerating.
True
200
What is the acceleration of a car that was traveling at 30 m/s and then hit the brakes and came to a stop in 1.7 s?
The acceleration of the car is 17.6 m/s^2 in the backwards direction.
200
True/False - The acceleration of freefall motion is always constant.
True
200
A ball is thrown horizontally at the exact time another ball of the same size is dropped vertically. Explain which ball will hit the ground first.
They will hit the ground at the same time because the only force acting on both balls is gravity (we ignore air resistance), therefore they will fall vertically at the same rate and hit the ground at the same time.
300
Explain how the distance an object travels can be greater than the displacement of the same object.
When df = di the displacement will be 0.
300
What does the slope of a velocity versus time graph tell us?
Acceleration
300
Starting from rest, a car travels with a constant acceleration of 6.0 m/s^2. How far does the car travel in 1.0 s?
The car travels 3.0 m forwards in 1.0 s.
300
A flowerpot falls from a window that is 25.0 m above the ground. How fast is the flowerpot moving when it hits the ground?
It is moving at a speed of 22.1 m/s when it hits the ground.
300
A car full of robbers drove off a cliff that is 22 m tall into the sea with a speed of 22 m/s. How long did it take the car to hit the sea below?
It took the car 2.1 seconds to reach the sea below.
400
An object moves 30 m (north) and then 70 m (south) and finally 60 m (west). What is the distance traveled and the displacement of the object?
Distance = 160 m Displacement = 72 m at 56 degrees west of south
400
Draw the position vs time and velocity vs time graph of a rocket that is accelerating straight upwards from rest on the surface of the earth.
Lemme see
400
A skater increases her speed from 2.0 m/s to 7.0 m/s over a distance of 12 m. What is her acceleration?
Her acceleration is 1.9 m/s^2 (forward).
400
A tennis ball is thrown straight up in the air with an initial velocity of 8.0 m/s (up). What will the ball's velocity be when it returns to the starting point?
The ball's velocity when it returns to the starting point will be 8.0 m/s (down).
400
A skier leaves the horizontal end of a ramp with a velocity of 25.0 m/s and lands 70.0 m from the base of the ramp. How high is the end of the ramp from the ground?
The end of the ramp is 38.5 m above the ground.
500
A particle has a velocity of 30.0 m/s at an angle of 50 degrees with respect to the +x-axis. Calculate the x & y components of this velocity vector.
Vx = 19.3 m/s Vy = 23.0 m/s
500
A rabbit is traveling uphill with a positive velocity but it has a negative acceleration due to gravity. Describe the motion of the rabbit in terms of speed.
The rabbit is slowing down (the speed is decreasing). When the direction of velocity and acceleration are opposite, the object slows down!
500
A car is speeding on the highway at a constant speed of 24 m/s. The car passes a police car on the side of the road. As soon as the car passes the police car accelerates from rest at 2.1 m/s^2. How long will it take the police car to catch up to the speeder?
It will take the police car 23 seconds to catch the speeder.
500
A robot probe on Mars drops a camera off a cliff. On Mars the acceleration of gravity is 3.7 m/s^2 (down). The camera is moving down at a speed of 61.0 m/s when it strikes the ground. How long does it take to strike the ground?
It takes 16.4 seconds to hit the ground
500
A slingshot is used to launch a stone horizontally from the top of a 20.0 m cliff. The stone lands 36.0 m away. What is the velocity of the stone when it hits the ground?
The stone hits the ground with a velocity of 26.6 m/s (48* below the horizontal).