Motion Fundamentals
What is 1D motion?
Motion in a straight-line path.
What is free-fall motion?
Motion under the influence of gravity only.
Solve for time in the formula v = v₀ + at
t = (v - v₀) / a
A car is traveling at 30 m/s. After 5 seconds, it is still moving at the same speed. What is its acceleration?
0 m/s², because the velocity is constant
What does the slope of a velocity-time graph represent?
Acceleration
What is the difference between a scalar and a vector?
A scalar has only magnitude; a vector has both magnitude and direction.
What is the acceleration of an object in free fall on Earth?
9.8 m/s²
Rearrange s = d / t to solve for time
t = d / s
A person walks 5 meters east, then 5 meters west. What is their displacement?
0 meters
What does the area under a velocity-time graph represent?
Displacement.
Give an example of a vector quantity and a scalar quantity.
Example: Velocity (vector), Speed (scalar).
A ball is dropped from rest. How fast is it moving after 3 seconds?
29.4 m/s
A car accelerates from 10 m/s to 30 m/s in 5 seconds. What is its acceleration?
4 m/s² using a = Δv / t
A skateboarder moves at 4 m/s and comes to a stop in 2 seconds. If their acceleration is -2 m/s², how far did they travel before stopping?
4 meters
If a velocity-time graph is a flat horizontal line at 5 m/s, what does this tell you about the velocity?
The object is moving at a constant velocity of 5 m/s.
Free Points
Congrats
If a ball is thrown upward with an initial velocity of 30 m/s, how long does it take to reach the top?
3.06
A cyclist moving at 20 m/s decelerates at -4 m/s². How long does it take to stop?
5 seconds using v = v₀ + at
A rock is thrown straight down at 10 m/s from a 50-meter building. How long does it take to hit the ground?
2.39 s
What does a curved line on a position-time graph mean?
The object is accelerating.
An object moves 20 meters east, then 15 meters west. What is its distance and displacement?
Distance = 35 m, Displacement = 5 m east
A rock is dropped from a height of 100m. How long does it take to reach the ground?
4.52 s
A ball is thrown straight up at 40 m/s. How high does it go?
81.6 m using v² = v₀² + 2ax
A runner accelerates from 3 m/s to 9 m/s over 4 seconds. How far do they travel in that time?
24 meters
A velocity-time graph shows a line sloping downward. What is happening?
The object is decelerating