Question 1 Hard
A car starts from rest and accelerates at 2 m/s² over a distance of 25 m. Work out its final speed.
Show answer
Answer: 10 m/s
- v² = 2as when u = 0
- v² = 100, so v = 10 m/s
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A second set of questions on motion, forces and stopping. They are different from the ones on the topic page. Try each, then open the answer and compare your working.
A car starts from rest and accelerates at 2 m/s² over a distance of 25 m. Work out its final speed.
Answer: 10 m/s
A skydiver opens a parachute and slows to a lower terminal velocity. Explain why.
Answer: The parachute increases the drag, so the drag equals the weight at a lower speed.
Explain why doubling the speed of a car more than doubles its braking distance.
Answer: The kinetic energy depends on speed squared, so a higher speed needs a much longer distance to remove the energy.
A car of mass 1000 kg has a braking force of 5000 N. Work out its deceleration.
Answer: 5 m/s²
A jogger runs at a steady 3 m/s for 50 s. Work out the distance.
Answer: 150 m
A car travels 300 m in 20 s. Work out its average speed.
Answer: 15 m/s
On a distance-time graph, a straight line goes from 0 m at 0 s to 24 m at 8 s. Work out the speed.
Answer: 3 m/s
A driver travelling at 25 m/s has a reaction time of 0.6 s. Work out the thinking distance.
Answer: 15 m
A walker covers 90 m in 60 s, then 60 m in 20 s. Work out the average speed for the whole journey.
Answer: 1.9 m/s
Higher tier. A velocity-time graph is a straight line from 0 m/s at 0 s to 12 m/s at 6 s. Work out the distance travelled.
Answer: 36 m
Short questions with options. Choose one before you open the answer.
What is acceleration?
How quickly the velocity changes The rate of change of velocity.
What is the unit of acceleration?
m/s² Metres per second squared, m/s².
What is the equation for acceleration?
acceleration = change in velocity ÷ time taken acceleration = change in velocity ÷ time taken.
What does a negative acceleration mean?
The object is slowing down The object is slowing down. This is also called deceleration.
A train speeds up from 0 to 30 m/s in 10 s. What is its acceleration?
3 m/s² 3 m/s², because 30 ÷ 10 = 3.
What does the gradient of a speed-time graph show?
The acceleration The acceleration.
What does a flat horizontal line on a speed-time graph show?
Constant speed Constant speed, with zero acceleration.
What is the equation linking force, mass and acceleration?
resultant force = mass × acceleration resultant force = mass × acceleration (F = m × a).
Two objects get the same resultant force. One has a bigger mass. Which accelerates less?
The one with the bigger mass The one with the bigger mass, because a = F ÷ m.
What happens to a moving object if the resultant force is zero?
It keeps moving at a constant velocity It keeps moving at a constant velocity.
What is drag?
A force from air or water that opposes the motion The force from air or water that opposes the motion of an object moving through it.
What is terminal velocity?
The constant speed reached when the resultant force is zero (for a falling object, drag equals weight) The constant speed reached when the resultant force is zero (for a falling object, the drag equals the weight).
Why does the drag on a skydiver increase as she speeds up?
Faster movement gives more air resistance Faster movement through the air means more air resistance.
At terminal velocity, how does the drag compare with the weight?
They are equal They are equal and opposite.
Why does opening a parachute lower the terminal velocity?
It gives more drag at a lower speed It gives much more drag, so the drag balances the weight at a lower speed.
What is thinking distance?
The distance travelled while the driver reacts The distance travelled during the driver's reaction time.
What is braking distance?
The distance travelled once the brakes are on The distance travelled while the brakes slow the vehicle to a stop.
What is the equation for stopping distance?
thinking distance + braking distance stopping distance = thinking distance + braking distance.
Which makes the thinking distance longer: tiredness, a wet road or worn tyres?
Tiredness Tiredness, because it slows the driver's reaction.
Which makes the braking distance longer: alcohol, a wet road or a distraction?
A wet road A wet road, because there is less friction.
Why does doubling the speed of a car more than double its braking distance?
The kinetic energy depends on the speed squared The kinetic energy depends on speed squared, so the car has four times the energy to remove.
When brakes slow a car, which store gains the energy?
The thermal store of the brakes The thermal store of the brakes, which get hot.
A student says: a skydiver at terminal velocity has no forces acting on her. What is wrong?
Weight and drag still act but they are balanced Weight and drag still act. They are equal and opposite, so the resultant force is zero.
Higher tier. In v² − u² = 2as, what does u stand for?
The starting speed The starting (initial) speed.
Roughly how fast do people walk, run and cycle?
Walk 1.5 m/s, run 3 m/s, cycle 6 m/s. Walking about 1.5 m/s, running about 3 m/s and cycling about 6 m/s.
Roughly what is the speed of sound in air?
About 330 m/s About 330 m/s.
What is the equation linking distance, speed and time?
distance = speed × time distance travelled = speed × time, or s = v × t.
How do you calculate average speed?
Total distance ÷ total time Total distance divided by total time.
What does the gradient of a distance-time graph show?
The speed The speed.
What does a flat line on a distance-time graph show?
The object is stationary. The object is stationary.
What is the difference between speed and velocity?
Velocity has a direction. Speed does not. Speed has a size only. Velocity is speed in a given direction.
Higher tier. How do you find the speed at one moment from a curved distance-time graph?
Draw a tangent and find its gradient. Draw a tangent to the curve at that point and find its gradient.
Higher tier. What does the area under a velocity-time graph show?
The distance travelled The distance travelled.
Higher tier. A car goes round a roundabout at a constant 10 m/s. Is its velocity constant?
No, because the direction keeps changing. No. Its speed is constant, but its direction keeps changing, so its velocity changes.
What acceleration does a freely falling object have near the Earth's surface?
About 9.8 m/s² About 9.8 m/s², often taken as 10 m/s².
What is the typical range of human reaction times?
About 0.2 s to 0.9 s About 0.2 s to 0.9 s.
How can you measure reaction time with a ruler?
Catch a dropped ruler and measure how far it fell. A partner drops the ruler without warning. You catch it, and the distance it fell shows your reaction time.
Why can a very large deceleration be dangerous?
The brakes can overheat and control can be lost. The brakes can overheat and the driver can lose control.
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