While stopped at the Port of Barcelona on your European cruise, you decide to try some skeet shooting. Skeet shooting is an activity where clay discs are flung through the air by a machine. The objective is to shoot and hit them before they fall to the ground. The path of the clay disc can be represented with the parabolic function:

= -4.9

h(t)t^{2}+ 32t+ 2

whereh(t) is the height in metres aftertseconds.

a) Determine the initial height of the clay disc as it leaves the skeet shooting machine.

My attempt: So, I'm not sure how I can solve for height, should I make t = 0?

If I did that, wouldn't that make the equation turn into h = -4.9 + 32 + 2? If I solved for h like that, would that be correct? I'm not sure...

b) Determine the amount of time it takes for the clay disc to hit the ground if it does not get shot. Round your answer to the nearest tenth.

My attempt:h(t)= -4.9t^{2}+ 32t+ 2

0= -4.9t^{2}+ 32t+ 2

Used quadratic formula... t = 6.59 s Is this correct?

c) Determine the maximum height of the clay disc and the amount of time it takes to reach that height. Round both answers to the nearest tenth.

h(t)= -4.9t^{2}+ 32t+ 2

My attempt: So, I'm not to sure about this one either, I graphed this equation into my calculator, and would the maximum be the time if took for the disk to reach the max height, or is it the max height?

d) What is the height of the clay disc after 4 seconds? Express your answer to the nearest tenth of a metre.

My attempt: I went into the table in my calculator and went to x = 4 and it says Y1 = 51.6 , is the answer to this question 51.6 m high?

e) If the clay disc travels at 60 km/ h, determine how many metres it will travel when it hits the ground. Round your answer to the nearest tenth of a metre.

My attempt: h(t)= -4.9t^{2}+ 32t+ 2

When the disk is at the ground, h = 0

0= -4.9t^{2}+ 32t+ 2

Solve for t... = 6.47

I don't know what next...

f) If you hit the clay disc at a height of 20 metres, then how much time passed from the time it was released until it was hit? Find both possibilities. Round your answers to the nearest tenth.

My Attempt: (20)t= -4.9t^{2}+ 32t+ 2

0= -4.9t^{2}+12t+ 2

Use quadratic formula... d = 2.6 m??? Is this correct?

g) When Bryan tries to hit the clay disc, the path of the pellet that hits the disc can be modelled by the equationh(t)=5t. At what height does Bryan’s pellet hit the disc? Round your answer to the nearest tenth of a metre.

I do not know what to do...

Any help would be great! Thanks in advance!