Science:Math Exam Resources/Courses/MATH110/December 2017/Question 06 (c)

MATH110 December 2017
Other MATH110 Exams

Question 06 (c)

A small ball is attached to a vertical spring hanging from the ceiling. Suppose you pull the ball (vertically) down towards the ground. At ${\textstyle t=0}$ you let go and the ball begins to oscillate following the stretching and compression of the spring. Let

${\displaystyle h(t)=0.5\sin(2\pi (t-1))+2}$
be the position of the ball (in metres) at time ${\textstyle t}$ (in seconds) since it was released. Let the ground level be 0 m.

(c) What is the acceleration of the ball at ${\textstyle t=1}$?

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