15)The trajectory of a lacrosse ball thrown from a stick is given by the equationh=-16 + 110t + 7a) What is the starting height of the ball in its trajectory?b) What is the original upward velocity of the ball in its trajectory?

15The trajectory of a lacrosse ball thrown from a stick is given by the equationh16 110t 7a What is the starting height of the ball in its trajectoryb What is t class=

Respuesta :

Explanation

Part A

We are asked to find the starting height of the ball in its trajectory

To do so, let us first write the equation needed

[tex]h=-16t^2+110t+7[/tex]

Next, we will substitute t =0 into the equation

[tex]\begin{gathered} h=-16(0)^2+110(0)+7 \\ h=7 \end{gathered}[/tex]

Therefore the starting height will be 7

Part B

We are asked to obtain the original upward velocity of the ball

To do so, we will have to obtain the derivative

[tex]h^{\prime}(t)=-32t+110[/tex]

Next, we will substitute t =0

[tex]\begin{gathered} h^{\prime}(0)=-32(0)+110=110 \\ h^{\prime}(0)=110 \end{gathered}[/tex]

The original upward velocity is 110