Science:Math Exam Resources/Courses/MATH110/December 2015/Question 05 (d)/Statement

A ball is floating on the surface of the sea. The ball’s height $h$ (in m) above the sea floor at time $t$ (in s) is given by

$h(t)=5+0.1\sin(2t).$

Answer the questions below. Evaluate all function values and provide justification for your claims. Include units.

(d) Is the ball speeding up or down at $t={\frac {\pi }{6}}$ ? Explain.