SCALAR/VECTOR
Vector quantities have a direction and a…
MAGNITUDE
A train covers 300 m in 20 s. Calculate the average speed.
What is 15 m/s?
A horizontal line on a distance-time graph shows this.
Answer: What is stationary or not moving?
A car increases its speed from 0 m/s to 10 m/s in 5 s. What is its acceleration?
Answer: What is 2 m/s²?
This is a measure of how much matter an object contains.
mass
Speed is an example of a _____ quantity, while displacement is an example of a _____ quantity.
scalar and vector
A car drives 120 km north in 2 hours, then 80 km south in 1 hour. What is the magnitude of its average velocity?
What is approximately 13 km/h north?
The slope of a distance-time graph shows this.
Answer: What is speed?
A train slows down from 20 m/s to 10 m/s in 5 s. What is the acceleration?
Answer: What is −2 m/s²?
Weight is calculated using this formula.
Answer: What is weight = mass × gravitational field strength?
A car travels 50 km north and then 30 km south. What are the distance and displacement?
80 km and 20 km north
A runner completes a 400 m circular track in 50 s. Calculate the average speed and average velocity.
What is 8 m/s (speed) and 0 m/s (velocity)?
The area under a speed-time graph represents this.
Answer: What is distance traveled?
A bike accelerates uniformly from 3 m/s to 15 m/s in 4 s. Calculate the acceleration.
Answer: What is 3 m/s²?
A 50 kg astronaut is on Earth where g=10 N/kg. What is their mass on a planet where g=5 N/kg?
50 kg
A plane flies 300 km east and then 400 km north. What is the magnitude of its displacement?
500 km
A plane flies 60 km north in 1 hour and 80 km east in 2 hours. What is the magnitude of its average velocity?
What is approximately 33 km/h?
A distance–time graph curve that gets steeper over time indicates this.
Answer: What is acceleration?
A car accelerates uniformly from 10 m/s to 30 m/s at 4 m/s². How long does it take to reach 30 m/s?
Answer: What is 5 s?
A 50 kg astronaut is on the Moon (g = 1.6 N/kg). Calculate their weight.
Answer: What is 80 N?
An object moves in a circle at constant speed. Explain why its velocity is changing.
The direction of motion changes, so the velocity vector changes
A cyclist travels 30 km north in 0.5 hours, then 40 km east in 1 hour, and finally 10 km south in 0.25 hours. Calculate the magnitude of the average velocity for the whole journey.
Displacement=(40)2+(20)2=1600+400
root of 2000≈44.7 km
Total time=0.5+1+0.25=1.75 h
What is 25.5 km/h
A velocity–time graph shows a horizontal line at 6 m/s for 2 s, followed by a straight line sloping down to 0 m/s over the next 2 s. Calculate the total displacement.
Total displacement=12+6=18 m
A car accelerates at 3 m/s² for 6 seconds and reaches a speed of 21 m/s. What was its speed at the start?
Answer: What is 3 m/s?
A 60 kg box is on a frictionless surface. A gravitational field strength of 10 N/kg acts downward. If the box is in an elevator accelerating upwards at 2 m/s², calculate the apparent weight.
Answer: What is 60 × (10 + 2) = 720 N?