Nathan is playing golf at a golf course. The height of the golf ball from the ground, in feet, x seconds after the ball is hit is given by the expression below.
-4x^2+36x
What do the zeros of the expression represent?
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Answered by
1
The ball is hit from the ground when t=0
It goes to the maximum height and then comes back to the ground
The zeros of the function -4x^2+36x represent the times when the ball is on the ground, first at the time when it is hit , next when it comes back to the ground.
-4x^2+36x = 0
-4x(x - 9) = 0
Either -4x = 0
Giving x = 0
Or (x - 9) = 0
Giving x - 9
The ball comes to the ground at time t = 9 seconds
So, it is on the ground at t = 0 and at t = 9
It goes to the maximum height and then comes back to the ground
The zeros of the function -4x^2+36x represent the times when the ball is on the ground, first at the time when it is hit , next when it comes back to the ground.
-4x^2+36x = 0
-4x(x - 9) = 0
Either -4x = 0
Giving x = 0
Or (x - 9) = 0
Giving x - 9
The ball comes to the ground at time t = 9 seconds
So, it is on the ground at t = 0 and at t = 9
Answered by
0
Answer:
Step-by-step explanation:
The ball is hit from the ground when t=0
It goes to the maximum height and then comes back to the ground
The zeros of the function -4x^2+36x represent the times when the ball is on the ground, first at the time when it is hit , next when it comes back to the ground.
-4x^2+36x = 0
-4x(x - 9) = 0
Either -4x = 0
Giving x = 0
Or (x - 9) = 0
Giving x - 9
The ball comes to the ground at time t = 9 seconds
So, it is on the ground at t = 0 and at t = 9
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