IB Physics SL A.1.1 Position, Velocity and Acceleration

Practise reading and sketching position, velocity and acceleration representations, using tangent gradients, curve shape and direction to connect the three motion quantities.

Exam points

draw a velocity vector tangent to a trajectory with its arrow in the instantaneous direction of motion
infer velocity and acceleration signs from the gradient and curvature of a position-time graph
sketch position or height against time with the correct initial gradient and changing curvature

[Maximum number: 3]

A ball of mass 0.250 kg is released from rest at time t=0, from a height H above a horizontal floor.

Figure for Question A.1.1—Position, velocity and acceleration question 1 — IB Physics SL

The graph shows the variation with time t of the velocity v of the ball. Air resistance is negligible. Take $g=-9.80 \mathrm{~ms}^{-2}$ . The ball reaches the floor after 1.0 s .

(a)

Label the time and velocity graph, using the letter M , the point where the ball reaches the maximum rebound height.

[ 1 ]

M at $1.6 \mathrm{~s}$

(b)

State the acceleration of the ball at the maximum rebound height.

[ 1 ]

« $g=>9.80<\mathrm{ms}^{-2} \gg$

Marking guidance:

Accept 9.81, 10 or a plain "g" Ignore sign if provided.

(c)

Draw, on the axes, a graph to show the variation with time of the height of the ball from the instant it rebounds from the floor until the instant it reaches the maximum rebound height. No numbers are required on the axes.

[ 1 ]

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A.1.1—Position, velocity and acceleration question 1

Question (a)

Question (b)

Question (c)