Answer:
10 seconds
Step-by-step explanation:
Find the zeros by equating f(x) to zero, that is
- 5x² + 50x = 0 ← factor out - 5x from each term
- 5x(x - 10) = 0
Equate each factor to zero and solve for x
- 5x = 0 ⇒ x = 0
x - 10 = 0 ⇒ x = 10
x = 0 denotes the time when the ball is struck and x = 10 when the ball returns to the ground.
Time in air = 10 - 0 = 10 seconds
