Question

1) The function $H(t) = -4.9t^2 + 20.1t + 1.6$ takes $t$, seconds since an object is thrown into the air, and gives $H$, how high the object is above the ground (in meters). Answer the following three questions: a) Determine the derivative $H'(t)$ b) Solve for when $H(t) = 3$ or state there are no solutions (Please note this is the original $H(t)$, not $H'(t)$!) Include proper units with your answer(s). c) Determine the value of $H'(3)$ or state there are no solutions. Include proper units with your answer(s). 2 points for the correct derivative in part a) 1 point for number value(s) of part b) 1 point for units of part b) 1 point for number value(s) of part c) 1 point for units of part c)

          1)
The function $H(t) = -4.9t^2 + 20.1t + 1.6$ takes $t$, seconds since an object is
thrown into the air, and gives $H$, how high the object is above the ground (in
meters).
Answer the following three questions:
a)
Determine the derivative $H'(t)$
b)
Solve for when $H(t) = 3$ or state there are no solutions (Please note this is
the original $H(t)$, not $H'(t)$!) Include proper units with your answer(s).
c)
Determine the value of $H'(3)$ or state there are no solutions. Include
proper units with your answer(s).
2 points for the correct derivative in part a)
1 point for number value(s) of part b)
1 point for units of part b)
1 point for number value(s) of part c)
1 point for units of part c)

1)
The function H(t) = -4.9t^2 + 20.1t + 1.6 takes t, seconds since an object is
thrown into the air, and gives H, how high the object is above the ground (in
meters).
Answer the following three questions:
a)
Determine the derivative H'(t)
b)
Solve for when H(t) = 3 or state there are no solutions (Please note this is
the original H(t), not H'(t)!) Include proper units with your answer(s).
c)
Determine the value of H'(3) or state there are no solutions. Include
proper units with your answer(s).
2 points for the correct derivative in part a)
1 point for number value(s) of part b)
1 point for units of part b)
1 point for number value(s) of part c)
1 point for units of part c)

Added by Heather P.

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