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Advanced Graphs of Motion

Section A: Foundations

Question 1mcq
The velocity-time graph rises uniformly from 00 to 10 m/s10\,m/s in 5 s5\,s. What is the acceleration?
A.2 m/s22\,m/s^2
B.5 m/s25\,m/s^2
C.10 m/s210\,m/s^2
D.50 m/s250\,m/s^2
Question 2mcq
The velocity-time graph is horizontal at 5 m/s5\,m/s from 00 to 6 s6\,s. What is the acceleration?
A.5 m/s25\,m/s^2
B.00
C.6 m/s26\,m/s^2
D.30 m/s230\,m/s^2
Question 3mcq
The position-time graph is a straight line from (0,0)(0,0) to (4,20)(4,20). What is the velocity?
A.4 m/s4\,m/s
B.20 m/s20\,m/s
C.5 m/s5\,m/s
D.80 m/s80\,m/s
Question 4mcq
A velocity-time graph falls uniformly from 10 m/s10\,m/s to 00 in 5 s5\,s. The acceleration is?
A.2 m/s22\,m/s^2
B.−5 m/s2-5\,m/s^2
C.00
D.−2 m/s2-2\,m/s^2
Question 5mcq
The position-time graph is horizontal at x=2 mx=2\,m. What does this show?
A.The object is at rest.
B.The object has constant acceleration.
C.The object moves backward.
D.The object has increasing speed.
Question 6mcq
What does the area under this velocity-time graph represent?
A.Acceleration
B.Displacement
C.Jerk
D.Mass
Question 7mcq
An acceleration-time graph is horizontal at 2 m/s22\,m/s^2. What does it show?
A.Constant velocity
B.Zero acceleration
C.Constant positive acceleration
D.Negative acceleration
Question 8mcq
Which interval shows zero acceleration?
A.00 to 3 s3\,s
B.At t=0t=0 only
C.No interval
D.3 s3\,s to 6 s6\,s
Question 9mcq
A position-time graph has a negative constant slope. What does this mean?
A.Constant velocity in the negative direction
B.Positive acceleration
C.The object is at rest
D.Increasing positive speed
Question 10mcq
Which feature of a velocity-time graph gives acceleration?
A.Area
B.Slope
C.Y-intercept only
D.Length of the time axis

Section B: Core Applications

Question 11mcq
From the velocity-time graph, find the total displacement in 8 s8\,s.
A.48 m48\,m
B.60 m60\,m
C.72 m72\,m
D.96 m96\,m
Question 12mcq
At what time does the object reverse direction?
A.0 s0\,s
B.8 s8\,s
C.It never reverses.
D.5 s5\,s
Question 13mcq
During which interval is the object moving with constant velocity?
A.2 s2\,s to 5 s5\,s
B.00 to 2 s2\,s
C.55 to 7 s7\,s
D.Throughout
Question 14mcq
The velocity-time graph is triangular. What is displacement over 6 s6\,s?
A.18 m18\,m
B.27 m27\,m
C.36 m36\,m
D.54 m54\,m
Question 15mcq
In which interval is acceleration negative?
A.00 to 2 s2\,s
B.44 to 6 s6\,s
C.2 s2\,s to 4 s4\,s
D.All intervals
Question 16mcq
What is the displacement from 00 to 6 s6\,s?
A.0 m0\,m
B.8 m8\,m
C.12 m12\,m
D.4 m4\,m
Question 17mcq
The position-time graph becomes progressively steeper. What does this indicate?
A.The object is speeding up.
B.The object is at rest.
C.The object has constant negative velocity.
D.The object is slowing uniformly.
Question 18mcq
What is the total displacement in 6 s6\,s?
A.12 m12\,m
B.15 m15\,m
C.18 m18\,m
D.21 m21\,m
Question 19mcq
The two segments of this position-time graph have the same slope. What does that imply?
A.Acceleration is increasing.
B.Velocity changes direction.
C.The velocity is constant.
D.The object stops at 2 s2\,s.
Question 20mcq
What is the average acceleration from 00 to 6 s6\,s?
A.1 m/s21\,m/s^2
B.2 m/s22\,m/s^2
C.−1 m/s2-1\,m/s^2
D.00
Question 21mcq
How many times does the object change direction?
A.Twice
B.Once
C.Three times
D.Never
Question 22mcq
The acceleration-time graph is shown. What is the net change in velocity over 6 s6\,s?
A.2 m/s2\,m/s
B.00
C.4 m/s4\,m/s
D.−2 m/s-2\,m/s
Question 23mcq
What is the average velocity over 6 s6\,s?
A.3 m/s3\,m/s
B.5 m/s5\,m/s
C.4 m/s4\,m/s
D.6 m/s6\,m/s
Question 24mcq
What is the acceleration during the first 2 s2\,s?
A.2 m/s22\,m/s^2
B.−4 m/s2-4\,m/s^2
C.00
D.−2 m/s2-2\,m/s^2
Question 25mcq
Which real-life situation best matches this velocity-time graph?
A.A vehicle speeds up uniformly and then brakes uniformly to rest.
B.A parked car remains still.
C.A vehicle moves backward at constant speed.
D.A vehicle accelerates forever.

Section C: Advanced Reasoning

Question 26mcq
What is the net displacement from 00 to 9 s9\,s?
A.24 m24\,m
B.28 m28\,m
C.32 m32\,m
D.36 m36\,m
Question 27mcq
What total distance is travelled in 8 s8\,s?
A.4 m4\,m
B.8 m8\,m
C.12 m12\,m
D.16 m16\,m
Question 28mcq
What is the net displacement from 00 to 8 s8\,s?
A.8 m8\,m
B.16 m16\,m
C.−8 m-8\,m
D.00
Question 29mcq
Which statement is correct about acceleration?
A.Acceleration is positive from 00–2 s2\,s, zero from 22–4 s4\,s, and positive from 44–6 s6\,s.
B.Acceleration is constant throughout.
C.Acceleration is negative throughout.
D.Acceleration is zero throughout.
Question 30mcq
If this is a position-time graph, which statement is true?
A.The particle is at rest throughout.
B.The particle changes direction at t=2 st=2\,s and again at t=4 st=4\,s.
C.The particle changes direction only at t=6 st=6\,s.
D.Velocity is always positive.
Question 31mcq
How many times does velocity become zero between 00 and 6 s6\,s?
A.Once
B.Twice
C.Three times
D.Four times
Question 32mcq
What is the total distance travelled from 00 to 8 s8\,s?
A.0 m0\,m
B.8 m8\,m
C.24 m24\,m
D.16 m16\,m

Section D: Challenge Set

Question 33mcq
What is the change in velocity from 00 to 6 s6\,s if this is an acceleration-time graph?
A.8 m/s8\,m/s
B.4 m/s4\,m/s
C.10 m/s10\,m/s
D.12 m/s12\,m/s
Question 34mcq
At what interval is retardation greatest in magnitude?
A.2 s2\,s to 5 s5\,s
B.0 s0\,s to 2 s2\,s
C.5 s5\,s to 7 s7\,s
D.Same in all intervals
Question 35mcq
What is the average acceleration from 00 to 9 s9\,s?
A.00
B.1 m/s21\,m/s^2
C.−1 m/s2-1\,m/s^2
D.−2 m/s2-2\,m/s^2
Question 36mcq
Which equation best matches this position-time data?
A.x=3tx=3t
B.x=t2x=t^2
C.x=2t+1x=2t+1
D.x=12t2x=\frac12t^2
Question 37mcq
Which equation best matches this velocity-time graph?
A.v=6−2tv=6-2t
B.v=2t+6v=2t+6
C.v=6−tv=6-t
D.v=2−6tv=2-6t
Question 38mcq
At which time is the particle farthest from its starting point?
A.2 s2\,s
B.6 s6\,s
C.4 s4\,s
D.8 s8\,s
Question 39mcq
The graph is symmetric above and below the time axis. Which conclusion is correct?
A.Both displacement and distance are zero.
B.Net displacement is positive.
C.Net displacement is zero, but total distance is non-zero.
D.Distance is negative.
Question 40mcq
If this is an acceleration-time graph and initial velocity is 00, what is the velocity at t=8 st=8\,s?
A.8 m/s8\,m/s
B.12 m/s12\,m/s
C.16 m/s16\,m/s
D.14 m/s14\,m/s