IB Physics HL A.1.2 Velocity, acceleration and graph-based inference Question Bank

Practise IB Physics HL A.1.2 by analysing acceleration and velocity graphs and judging what each graph can establish.

Exam points

Infer changes in velocity from the signed area under a non-uniform acceleration graph.
Compare what velocity-time and acceleration-time graphs reveal about motion and force.
Evaluate a conclusion from a graph alone and identify which additional quantity or assumption is required.

[Maximum number: 2]

A toy rocket is made from a plastic bottle that contains some water.

Air is pumped into the vertical bottle until the pressure inside forces water and air out of the bottle. The bottle then travels vertically upwards.

Figure for Question A.1.2—Velocity and acceleration rates question 1 — IB Physics HL

The air-water mixture is called the propellant.
The variation with time of the vertical velocity of the bottle is shown.

The bottle reaches its highest point at time $T_{1}$ on the graph and returns to the ground at time $T_{2}$ . The bottle then bounces. The motion of the bottle after the bounce is shown as a dashed line.

Estimate the acceleration of the bottle when it is at its maximum height.

Attempt to calculate gradient of line at $t=1.2 \mathrm{~s}$

«-» 9.8 «m s ${ }^{-2}$ » (accept 9.6-10.0)

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A.1.2—Velocity and acceleration rates question 1