Kinematics: Motion in a Line

Displacement, velocity and acceleration, and the graphs behind them.

15 questions, free, marked as you go with a worked explanation on every one.

What this covers

A car starts from rest and accelerates uniformly at 3.0 m/s² for 5.0 s. What is its final velocity?
That same car accelerates from rest at 3.0 m/s². How far does it travel in those 5.0 s?
A ball is dropped from rest and falls 45 m. Taking g = 9.81 m/s², how long is it falling?
A car travelling at 25 m/s brakes uniformly to a stop in 4.0 s. What is its acceleration?
A ball rolls horizontally off an 80 m cliff at 20 m/s. Taking g = 9.81 m/s², how long before it lands?
For that same ball, how far from the base of the cliff does it land?
A hiker walks 3.0 km east, then 4.0 km north. What is the magnitude of their displacement?
On a velocity-time graph, what does the area between the line and the time axis represent?
A student says the object is slowing down, so its acceleration must be negative. When is that wrong?
Use the table. What is the object's acceleration, in metres per second squared?
Which of these is a vector quantity?
Which of these is a scalar quantity?
A hiker walks 300 m east, then 400 m north. What is the magnitude of her displacement, in metres?
A hiker walks 300 m east, then 400 m north. What is the total distance she walked, in metres, not the straight-line displacement?
Two cars both travel at 60 km/h, one heading north and the other heading south. Which statement is correct?