A car changes its position (x) as a function of time (t) as follows: x = 4t² – 12, with x in metres.

Question

A car changes its position (x) as a function of time (t) as follows: x = 4t² – 12, with x in metres. Find the displacement of the car between t₁ = 1 s and t₂ = 2 s.

Answer 1

A car changes its position (x) as a function of time (t) as follows: x = 4t² – 12, with x in metres. Find the displacement of the car between t₁ = 1 s and t₂ = 2 s.

-12 m
4 m
-4 m
12 m ✓

Explanation

Find the position at each time. At t = 1 s: x = 4(1) − 12 = −8 m. At t = 2 s: x = 4(4) − 12 = 4 m.

Displacement = final − initial = 4 − (−8) = 12 m.

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