SOLUTION: Gloria is skeet shooting. The height of the skeet is modelled by the function h(t)=-4.9t^2+32t+2 where h(t) is the height in metres after t seconds. The path of Gloria’s pellet i

Question 1137679: Gloria is skeet shooting. The height of the skeet is modelled by the function h(t)=-4.9t^2+32t+2 where h(t) is the height in metres after t seconds. The path of Gloria’s pellet is modelled by the function g(t)=28.5t+1 , with the same units.
a) How high off the ground will the skeet be when it is hit?
b) After how many seconds will the skeet be hit?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

Gloria is skeet shooting. The height of the skeet is modelled by the function

where is the height in meters after seconds.

The path of Gloria’s pellet is modeled by the function
, with the same units.

a) How high off the ground will the skeet be when it is hit?

when , and it will be at the point where and}intersects

first find the time when

≈ seconds->Reject the negative solution
≈ seconds

now find height

the point where and intersects is
(, )

b) After how many seconds will the skeet be hit?
after seconds
it will take seconds to hit the skeet and the skeet will be
meters in the air

RELATED QUESTIONS
Help with function homework. Gloria is skeet shooting. The height of the skeet is... (answered by MathLover1,Theo)

Please help with this question. Gloria is skeet shooting. The height of the skeet is... (answered by rothauserc)

Gloria is skeet shooting. The height of the skeet is modelled by the function... (answered by josmiceli)

Gloria is skeet shooting. The height of the skeet is modelled by the function... (answered by ikleyn)

. The height of a projectile at time t is represented by the function h(t) = −4.9t 2 + (answered by greenestamps)

A ball is thrown upward. The path of the ball is modelled by the equation: h=-4.9t^2 +... (answered by Alan3354)

The height t seconds after a toy rocket is launched straight up can be modeled by the... (answered by solver91311)

At a baseball game, workers toss T-shirts to spectators in the stands out of a... (answered by ikleyn)

A toy glider is tossed into the air. Its height, h, in metres, after t seconds is... (answered by nerdybill)