IB Physics SL A.1.2 Velocity and acceleration rates Question Bank

Practise IB Physics SL A.1.2 by using velocity-time and acceleration-time graphs to calculate changes in motion.

Exam points

Calculate acceleration from the gradient of a velocity-time graph.
Use the area under an acceleration-time graph to find the change in velocity.
Interpret a motion graph and report speed, velocity or acceleration with correct units.

[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 SL

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

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A.1.2—Velocity and acceleration rates question 1