Question 1
A student measures the displacement s of a trolley at different times t. The relationship between s and t is non-linear. Which transformation of the dataset will produce a linear relationship?
Worked answer
🔒 Start free to see full answer
Physics · Unit 2 · Linear motion and force · Linear motion
Linearise a dataset that suggests a non-linear relationship (e.g. t2 versus s) and calculate the equation of the linear trend line.
Practise this objective
AI-marked practice questions tied to QCAA mark schemes for this exact LO. Free to start.
Start free practicePractice questions for this objective
Full questions, answers and worked solutions unlock when you start a free practice session.
Question 2
A student investigates the motion of a falling object and records displacement \( s \) at different times \( t \). Analysis of the raw data suggests a quadratic relationship \( s = at^2 \). To linearise the data, the student plots \( s \) against \( t^2 \) and calculates a line of best fit with gradient \( m = 4.85\,\text{m}\,\text{s}^{-2} \) and \( y \)-intercept \( c = 0.12\,\text{m} \). What is the best interpretation of the non-zero intercept?
Worked answer
🔒 Start free to see full answer
Question 3
A student investigates the relationship between time \( t \) and displacement \( s \) for an accelerating trolley and records the data below. Refer to the table below. Which plot will produce a linear graph?
Worked answer
🔒 Start free to see full answer
More in Linear motion
← Previous
Interpret linear motion graphs to describe the motion of an object, referring to the - intercepts, gradients and uncertainties (using minimum and maximum lines of best fit) of displacement–time and velocity–time graphs - areas under velocity–time and acceleration–time graphs using simple geometry.
Next →
Solve problems involving elastic collisions and inelastic collisions (including explosions) using ∑ 1 2 𝑚𝑣𝑏𝑒𝑓𝑜𝑟𝑒 2 = ∑ 1 2 𝑚𝑣𝑎𝑓𝑡𝑒𝑟 2.