Distance vs Displacement
A student walks 10 m east, then 4 m west. What is the total distance traveled?
14 m
What is the difference between speed and velocity?
Speed tells how fast an object moves. Velocity tells how fast and in what direction it moves.
On a position-time graph, what does the slope represent?
Velocity
What is acceleration?
Acceleration is the rate at which velocity changes over time
What is the acceleration due to gravity near Earth's surface, ignoring air resistance?
9.8 m/s² downward
A student walks 10 m east, then 4 m west. What is the displacement?
6 m east
A cyclist travels 120 m in 20 s. What is the cyclist’s average speed?
6 m/s
On a velocity-time graph, what does the slope represent?
Acceleration
A skateboarder’s velocity changes from 2 m/s to 10 m/s in 4 s. Find the average acceleration.
2 m/s²
A ball is dropped from rest. What is its initial velocity?
0 m/s. It starts from rest
A runner completes one full 400 m lap and finishes at the starting point. What are the runner’s distance and displacement?
Distance = 400 m; displacement = 0 m
A student moves 60 m west in 12 s. What is the student’s average velocity?
5 m/s west
A position-time graph is a horizontal line. What does this tell you about the object's motion?
The object is at rest because its position is not changing
A car slows from 20 m/s to 8 m/s in 3 s. Find its average acceleration.
−4 m/s²
A ball is dropped from rest and falls for 2 seconds. What is its final velocity? Use g = 9.8 m/s² and downward as positive.
19.6 m/s downward
A hiker walks 6 m north and then 8 m east. What is the magnitude of the displacement?
10 m
A runner travels 100 m east, then 100 m west, in a total of 40 s. Find the average speed and average velocity.
Average speed = 5 m/s; average velocity = 0 m/s
A velocity-time graph is a horizontal line at 8 m/s. What is the object's acceleration?
0 m/s². The velocity is constant
An object starts from rest and accelerates at 3 m/s² for 5 s. What is its final velocity?
15 m/s
An object is dropped from rest and falls for 3 seconds. How far does it fall? Use g = 9.8 m/s².
44.1 m
A student walks 12 m south, 5 m north, and then 3 m south. Find the total distance and displacement, including direction.
Distance = 20 m; displacement = 10 m south
A car travels 150 m east in 10 s, then 50 m west in 5 s. Find the average speed and average velocity for the entire trip.
Average speed ≈ 13.3 m/s; average velocity ≈ 6.7 m/s east
On a velocity-time graph, velocity increases from 4 m/s at 0 s to 16 m/s at 6 s. What is the acceleration?
2 m/s²
A cyclist travels at 6 m/s and accelerates at 2 m/s² for 4 s. Find the final velocity and displacement, assuming constant acceleration.
Final velocity = 14 m/s; displacement = 40 m
A ball is thrown straight downward at 5 m/s. How fast is it moving after 3 seconds? Ignore air resistance and use g = 9.8 m/s².
34.4 m/s downward