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Unit notes and practice questions

Grade 10 Physics unit 2: Uniformly Accelerated Motion

Everything here is for unit 2 of the Grade 10 Physics textbook: what the chapter covers, the short notes, practice questions with their answers, and the lesson video where one exists.

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5
Cards
10
Practice questions on unit 2
28–59
The textbook pages for unit 2

What unit 2 covers

  1. 1.Position and Displacement
  2. 2.Average velocity and instantaneous velocity
  3. 3.Acceleration
  4. 4.Equations of motion with constant acceleration
  5. 5.Graphical representation of uniformly accelerated motion
  6. 6.Relative velocity in one dimension

Short notes for unit 2

The cards filed under this chapter on the Grade 10 Physics page. Open one at a time.

When you use it

Reach for this distinction when a question asks about slowing down or motion in negative coordinates.

Watch out

Deceleration always reduces speed because acceleration is opposite to velocity. Negative acceleration only means pointing in the negative coordinate direction and can increase speed if velocity is also negative.

Drafted from Grade 10 Physics, pages 28-59, then checked twice before it went up

s=v0t+12at2s = v_0 t + \frac{1}{2} a t^2
ss
displacementmm
v0v_0
initial velocitym s−1m\,s^{-1}
aa
accelerationm s−2m\,s^{-2}
tt
time intervalss

When you use it

Use when calculating displacement of an object moving with uniform acceleration over a known time interval.

Watch out

Acceleration must be constant throughout the motion. In free fall without air resistance, acceleration equals g.

Drafted from Grade 10 Physics, pages 28-59, then checked twice before it went up

Graph TypeSlopeArea Under Curve
Position-time (s−ts-t)VelocityNo physical meaning
Velocity-time (v−tv-t)AccelerationDisplacement
Acceleration-time (a−ta-t)No physical meaningChange in velocity

When you use it

Use to identify physical quantities represented by slopes and enclosed areas on motion graphs.

Watch out

The area under a velocity-time graph yields displacement, which is not always equal to total distance.

Drafted from Grade 10 Physics, pages 28-59, then checked twice before it went up

vAB=vA−vBv_{AB} = v_A - v_B
vABv_{AB}
relative velocity of A with respect to Bm s−1m\,s^{-1}
vAv_A
velocity of object Am s−1m\,s^{-1}
vBv_B
velocity of object Bm s−1m\,s^{-1}

When you use it

Use to determine the velocity of body A as observed from the reference frame of moving body B.

Watch out

Direction signs are critical: if objects move toward each other, assign one direction as positive and the opposite as negative.

Drafted from Grade 10 Physics, pages 28-59, then checked twice before it went up

v=v0+atv = v_0 + a t
vv
final velocitym s−1m\,s^{-1}
v0v_0
initial velocitym s−1m\,s^{-1}
aa
accelerationm s−2m\,s^{-2}
tt
time intervalss

When you use it

Use to find the velocity of an object after it accelerates at a constant rate for time t.

Watch out

When an object slows down, acceleration has the opposite algebraic sign to velocity.

Drafted from Grade 10 Physics, pages 28-59, then checked twice before it went up

Practice questions on unit 2

10 multiple-choice questions written against this chapter, each with its answer and the reason. Try one before you open the answer.

Question 1

A student walks 200 m east from home to a shop, then walks the same way back. What is the displacement for the whole trip?

  1. A.400 m
  2. B.200 m east
  3. C.Zero
  4. D.200 m west
Show the answer and why

Answer: C Zero

Why

Displacement is the change in position, measured straight from start to finish. The student finishes exactly where they started, so the displacement is zero. Option A is the distance travelled, which is 400 m, and distance is the quantity that can never come back to zero once you have moved.

Question 2

A car speeds up from 10 m/s to 30 m/s in 4 s. What is its acceleration?

  1. A.2.5 m/s²
  2. B.5 m/s²
  3. C.10 m/s²
  4. D.40 m/s²
Show the answer and why

Answer: B 5 m/s²

Why

Acceleration is the change in velocity divided by the time: a = (30 - 10) / 4 = 20 / 4 = 5 m/s². Option C comes from dividing the final velocity by the time instead of the change in velocity.

Question 3

A stone is dropped from rest and falls for 3 s. How far does it fall?

  1. A.15 m
  2. B.30 m
  3. C.45 m
  4. D.90 m
Show the answer and why

Answer: C 45 m

Why

Dropped means the initial velocity is zero, so s = ut + (1/2)at² becomes s = (1/2)(10)(3²) = (1/2)(10)(9) = 45 m. Option B is what you get by using v = u + at, which gives the final speed of 30 m/s rather than a distance.

Question 4

Which equation of motion would you use when the question never mentions time?

  1. A.v = u + at
  2. B.s = ut + (1/2)at²
  3. C.v² = u² + 2as
  4. D.s = ((u + v) / 2)t
Show the answer and why

Answer: C v² = u² + 2as

Why

Each equation leaves out one quantity. v² = u² + 2as is the only one with no t in it, so it is the one to reach for when time is neither given nor asked for. Every other option contains t.

Question 5

A driver travelling at 20 m/s brakes at 4 m/s². How far does the car travel before it stops?

  1. A.5 m
  2. B.40 m
  3. C.50 m
  4. D.80 m
Show the answer and why

Answer: C 50 m

Why

Time is not mentioned, so use v² = u² + 2as with v = 0 and a = -4 m/s², because the acceleration opposes the motion. Then 0 = 400 + 2(-4)s, so 8s = 400 and s = 50 m. Option A is what you get by finding the stopping time, 5 s, and reporting it as a distance.

Question 6

On a velocity against time graph, what does the area under the line represent?

  1. A.Acceleration
  2. B.Displacement
  3. C.Speed
  4. D.Force
Show the answer and why

Answer: B Displacement

Why

Velocity multiplied by time gives displacement, and that product is exactly what the area represents. The slope of the same graph gives acceleration, which is why option A is the common wrong choice.

Question 7

A ball is thrown straight upward. At the highest point of its flight, what are its velocity and acceleration?

  1. A.Velocity zero, acceleration zero
  2. B.Velocity zero, acceleration 10 m/s² downward
  3. C.Velocity 10 m/s upward, acceleration zero
  4. D.Velocity zero, acceleration 10 m/s² upward
Show the answer and why

Answer: B Velocity zero, acceleration 10 m/s² downward

Why

At the top the ball has stopped rising and has not yet started falling, so its velocity is zero for that instant. Gravity never switches off, so the acceleration is still 10 m/s² downward, which is what starts the ball moving down again. Option A is the most common wrong answer, and it would mean the ball hangs there forever.

Question 8

A bus travelling at 72 km/h needs its speed in metres per second. What is it?

  1. A.7.2 m/s
  2. B.20 m/s
  3. C.36 m/s
  4. D.259 m/s
Show the answer and why

Answer: B 20 m/s

Why

Divide by 3.6 to convert km/h into m/s: 72 / 3.6 = 20 m/s. The conversion comes from 1000 metres per kilometre divided by 3600 seconds per hour. Option D multiplies by 3.6 instead of dividing.

Question 9

Two buses travel along the same road in opposite directions, one at 60 km/h and the other at 50 km/h. What is the magnitude of their relative velocity?

  1. A.10 km/h
  2. B.55 km/h
  3. C.110 km/h
  4. D.3000 km/h
Show the answer and why

Answer: C 110 km/h

Why

Taking one direction as positive, the second bus has a velocity of -50 km/h. Relative velocity is 60 - (-50) = 110 km/h. Option A would be right only if they were travelling the same way, which is why the sign matters so much in these questions.

Question 10

A minibus starts from rest and accelerates uniformly, reaching 24 m/s after 6 s. How far does it travel in that time?

  1. A.36 m
  2. B.72 m
  3. C.144 m
  4. D.288 m
Show the answer and why

Answer: B 72 m

Why

Both velocities and the time are known, so use s = ((u + v) / 2)t = ((0 + 24) / 2) x 6 = 12 x 6 = 72 m. Option C comes from multiplying the final velocity by the time, which would only be right if the bus had travelled at 24 m/s the whole way.

The textbook pages for unit 2

Unit 2 runs from page 28 to page 59 of the Ministry of Education edition.

Ministry of Education edition, English, 212 pages

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