# Science:Math Exam Resources/Courses/MATH110/December 2016/Question 06 (b)

MATH110 December 2016
Other MATH110 Exams

### Question 06 (b)

Explorers on a small airless planet used a spring gun to launch a small ball vertically upward from the ground at a launch velocity of $15{\text{m}}/{\text{s}}$ . The explorers expected the ball to reach a height of

$s(t)=15t-(1/2)gt^{2}$ metres at $t$ seconds after being launched, where $g$ is a constant.

(b) Sketch the graph of the ball’s velocity $v(t)$ for $0\leq t\leq 40$ . Make sure you indicate the values of any intercepts, if they exist.

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