IB Maths AA SL 5.9 Kinematics Questions

Practise identifying the mathematical structure in a kinematics problem, selecting the correct theorem or algorithm, and checking the result with units, graphs or logical…

Exam points

Differentiate and integrate position, displacement and velocity functions to obtain velocity, acceleration and displacement in one-dimensional motion.
Determine displacement, distance travelled and speed over a time interval, using sign changes and integrals of velocity where required.
Solve and interpret rest, change-of-direction, maximum-speed and zero-acceleration conditions for particles, including motion in context.

Learn this topic

Study SL 5.9—Kinematics conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

[Maximum number: 4]

The velocity of a particle in $\mathrm{ms}^{-1}$ is given by $v=\mathrm{e}^{\sin t}-1$ , for $0 \leq t \leq 5$ .

Find the total distance travelled by the particle in the first five seconds.

recognizing distance is area under velocity curve
valid approach to find the total area
$e g \quad$ area A+ area $\mathrm{B}, \int v \mathrm{~d} t-\int v \mathrm{~d} t, \int_{0}^{3.14} v \mathrm{~d} t+\int_{3.14}^{5} v \mathrm{~d} t, \int|v|$
correct working with integration and limits (accept d x or missing d t )
eg $\quad \int_{0}^{3.14} v \mathrm{~d} t+\int_{5}^{3.14} v \mathrm{~d} t, 3.067 \ldots+0.878 \ldots, \int_{0}^{5}\left|\mathrm{e}^{\sin t}-1\right|$
distance $=3.95(\mathrm{~m})$

All question bank results loaded

Learn this topic

IB Maths AA SL 5.9 Kinematics Questions question 1