1 of 8 0-day streak

Analyse displacement, velocity and a complete straight-line journey

Question 1 of 8

No calculator

Keep displacement, speed and distance distinct for this journey

Signed displacement x is in m and time t is in s. Positive x is the positive direction along the line

x(t)=t-3

0\le t\le 6,\qquad t_0=1

(a)1 mark

Enter every coefficient in descending powers, including zero for an absent term

v(t)=A_0

\(\text{constant coefficient}\)

(b)1 mark

Enter every coefficient in descending powers, including zero for an absent term

a(t)=A_0

\(\text{constant coefficient}\)

Enter exact values in the labelled cells. Times are in increasing order; distance uses absolute segment changes

Initial displacement (m) Final displacement (m)

(d)1 mark

Find the speed at \(t=1\) s in m/s

Nonnegative speed

(e)1 mark

Select the correct rest and direction interpretation

At rest, displacement must equal zero

Direction is determined by displacement sign, regardless of velocity

The velocity is constant and nonzero; acceleration is zero, and there is no rest time

Every zero of acceleration must be a direction reversal