A projectile’s height is given by the equation ℎ=−16^2+280+130, where h represents the height, in feet, t seconds after it was launched. Part A. How high was the projectile when it was launched?

Part B. How do you know?

Part C. Determine algebraically the maximum height of the projectile.

Part D. The point (13.6, 0) represents a key feature for this projectile. What is its significance in the context of this problem?

Equation; h = -16x² + 280x + 130

Part A.) It was 130 ft high

Part B.) Substitute 0 in for each x given in the equation, then height, (h) would equal to 130.

Part C) Maximum = (8.75, 1355): it could be found using the formula of -b/2a, to find the x-value of the maximum, and then substituting the x-value in the equation in place of x, to find the y-value

Part D) I tried graphing the point (13.6, 0) in the graph and it doesn't show me anything significant, maybe u can ask this one to from teacher? (sorry bout that)

Hope this helps!

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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answer: your answer is a