Question

will give medal and fan!

Answer 1

The function H(t) = -16t2 + vt + s shows the height H (t), in feet, of a projectile launched vertically from s feet above the ground after t seconds. The initial speed of the projectile is v feet per second.

Part A: The projectile was launched from a height of 100 feet with an initial velocity of 60 feet per second. Create an equation to find the time taken by the projectile to fall on the ground. (2 points)

Part B: What is the maximum height that the projectile will reach? Show your work. (2 points)

Part C: Another object moves in the air along the path of g(t) = 20 + 38.7t where g(t) is the height, in feet, of the object from the ground at time t seconds.

Use a table to find the approximate solution to the equation H(t) = g(t), and explain what the solution represents in the context of the problem? [Use the function H(t) obtained in Part A, and estimate using integer values] (4 points)

Part D: Do H(t) and g(t) intersect when the projectile is going up or down, and how do you know? (2 points)

Answer 2

We are given the function with constants for the height and speed. Can you plug them in?

Answer 3

H(t)=-16t^2+100(60)+s would that right @JoannaBlackwelder

Answer 4

@triciaal

Answer 5

@Vocaloid

Answer 6

Close, I get: 16t^2 + 60t +100

Answer 7

v=60
s=100

Answer 8

can you help me with parts c and d @JoannaBlackwelder

Answer 9

Sure, can you make a table of values of H(t) and g(t)?

Answer 10

g(t) h(t)
1 58.7 144
2 97.4 156
3 136.1 136
4 174.8 84

Answer 11

is that ok @JoannaBlackwelder

Answer 12

Yep, that's a good start? Do you know what we are looking for in the table?

Answer 13

the point were h(t)=g(t)

Answer 14

Yep, the point or points. :-) Do you see one so far?

Answer 15

at 3 they are the closest

Answer 16

Yep, I think we can say they are about the same at t=3. :-) So, what does that represent in the problem?

Answer 17

the point were they intersect?

Answer 18

Yep, that would be the point where the two objects would hit each other. :-)

Answer 19

for part d how do I know whether or not it is going down or up?

Answer 20

It would be going up if it is before the vertex, down if it is after.

Answer 21

Since the parabola is upside down

Answer 22

it would be going down ,right?

Answer 23

Yep :-)

Answer 24

can you help me with a couple more equations.

Answer 25

Possibly. But open a new question, please. And tag me :-)

Answer 26

ok