Respuesta :
Answer:
- 5.2 seconds
Step-by-step explanation:
Given
- The function h(t) = -16t^2 +64t + 100
To find:
- Time the ball to reach the ground (h = 0)?
Solution
- h(t) = -16t^2 +64t + 100
Need to find the value of t, when h(t) = 0
- -16t^2 +64t + 100 = 0
- 4t^2 - 16t - 25 = 0
- 4t^2 - 2*2t*4 + 16 = 41
- (2t - 4)^2 = 41
- 2t - 4 = √41
- 2t - 4 = 6.4
- 2t = 10.4
- t = 5.2
Answer is 5.2 seconds