The height of a ball that was batted into the air at 160 feet per second is a function of t, the time in seconds after the ball was hit. The height is determined by subtracting 16 times the square of t from 160 times t. Which equation can be used to find t when the ball is 400 feet high?
A. 160t-16t^2=400
B. (160-16)t^2=400
C. 160(t^2-t)=400
D. 160-(16-t^2)=400
E. 16t^2-160t=400
h = height
t = time
h = 160 t - 16 t ^ 2
400 = 160 t - 16 t ^ 23
160 t - 16 t ^ 23 = 400
Uh..so what's the answer? I don't understand..
Sorry my tipfeler.
Answer is A
h = 160 t - 16 t ^ 2
400 = 160 t - 16 t ^ 2
160 t - 16 t ^ 2 = 400
To find the equation that can be used to find t when the ball is 400 feet high, we need to set up the given equation. The height of the ball is determined by subtracting 16 times the square of t from 160 times t. So the equation is:
Height = 160t - 16t^2
Now we can substitute the given height of 400 feet into the equation and solve for t:
400 = 160t - 16t^2
We can simplify the equation by dividing both sides by 16:
25 = 10t - t^2
Now we can rearrange the terms to form a quadratic equation:
t^2 - 10t + 25 = 0
To solve this quadratic equation, we can either factor it or use the quadratic formula. In this case, the equation can be factored as:
(t - 5)^2 = 0
Taking the square root of both sides, we get:
t - 5 = 0
Therefore, t = 5.
So the correct equation to find t when the ball is 400 feet high is:
A. 160t - 16t^2 = 400