Please Answer Problems A & B on paper.

Show all your work for full marks.

Please UPLOAD AS ONE FILE under the Question $20$ drop$-$box.

PROBLEM A $(3$ points$)$

Determine the equation of the tangent line to the graph of $y=-6x^4+2x+5$ at the point $(-1,-3).$

PROBLEM B $(5$ points$)$

A ball is thrown into the air. Its motion can be described by $h(t)=-4\mathrm{.}9t^2+5t+7,$ where the height, $h,$ is measured in metres at $t$ seconds.

i$)$ Find the initial velocity. $(1$ point$)$

ii$)$ When does the ball reach its maximum height? $(1$ point$)$

iii$)$ When does the ball hit the ground? $(1$ point$)$

iv$)$ What is its velocity when it hits the ground? $(1$ point$)$

v$)$ What is the acceleration of the ball on the way up$?$ On the way down? $(1$ point$)$