Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line

Kinematics of motion in a straight line — practice question

A woman travels along a straight line. Her velocity $t$ seconds after she passes a fixed point $A$ on the line is $v\,\text{m s}^{-1}$. The graph of $v$ against $t$ is made up of 4 straight-line segments (see diagram). The woman is at point $B$ when $t = 60$. Find
(i)[3]

the woman’s acceleration during $0 \le t \le 30$ and during $30 \le t \le 40$.

(ii)[2]

the distance between $A$ and $B$.

(iii)[1]

the woman’s overall distance travelled.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the gradient rule for acceleration or use $v = u + at$

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