Unit 1 Review

Position & Displacement

100

What is the difference between distance and displacement?

Distance = total path length (scalar), Displacement = change in position (vector)

200

An object moves 5 m east, then 3 m west. What is its displacement?

+2 m east

300

A skateboarder starts at –4 m and ends at +3 m. What is the displacement?

+7 m

400

A runner begins at x = –2 m and moves to x = +5 m. What is their final position relative to the origin?

+5 m (5 m to the right of the origin)

500

A skateboarder starts at –3.5 m, skates to +6.2 m, then back to +1.3 m.
What is the net displacement and the total distance traveled?

Displacement = +4.8 m, Distance = 14.6 m

Speed & Velocity

100

Define speed

Rate of change of distance (scalar)

200

Define velocity

Rate of change of displacement (vector, includes direction)

300

A whale swims 8 m/s for 17 s. How far does it travel?

136 m

400

A student walks 4 m east, then 4 m west in 8 s. What is their average speed and velocity?

Speed = 1 m/s, Velocity = 0 m/s

500

A student moves 304 m north in 180 s. What is their average velocity?

1.7 m/s north

Acceleration

100

What is acceleration?

The rate of change of velocity

200

A jet turns left at a constant 800 mph. Is it accelerating? Why?

Yes, because its direction is changing

300

A roller coaster speeds up from 4 m/s to 22 m/s in 3 s. What is its acceleration?

6 m/s²

400

A car slows from 20 m/s to 5 m/s in 2 s. What is the acceleration?

–7.5 m/s²

500

A Ferrari accelerates from 10 m/s at 50 m/s² for 3 s. What is its final velocity?

160 m/s

Graphs of Motion

100

What does the slope of a position–time graph represent?

Velocity

200

What does the slope of a velocity–time graph represent?

acceleration

300

On a v–t graph, what does a flat line above the x-axis mean?

Constant positive velocity

400

A v–t graph shows a sloping line downward toward zero. What does this represent?

Deceleration (negative acceleration)

500

On a v–t graph, what does the area under the curve represent?

displacement

Equations & Free Fall

100

What is the acceleration due to gravity on Earth?

~9.8 m/s² downward

200

Write the equation for final velocity with constant acceleration

v_f=v_i+aΔt

300

Write the equation for displacement with constant acceleration.

x=x₀+v_it+(1/2)at²

400

A car starts from rest and accelerates at 2 m/s² for 4 s. How far does it travel?

16 m

500

A ball is dropped from rest. How fast is it moving after 2 s?

19.6 m/s²