Question

Levi dives from a platform. He reaches a maximum height of 7.2m after 0.45 seconds. How long does it take him to reach the water if his height is given by the equation: h(t)=-4.6(t-0.45)²+7.2?

Answer 1

To find the time it takes for Levi to reach the water, solve the equation for height, h(t), equal to 0. By setting the equation equal to 0, we can solve for t and find the time it takes for Levi to reach the water.

Step-by-step explanation:

To find how long it takes Levi to reach the water, we need to find the time when his height is equal to 0. We can set the equation for height, h(t), equal to 0 and solve for t.

0 = -4.6(t-0.45)²+7.2

-4.6(t-0.45)² = -7.2

Divide both sides by -4.6:

(t-0.45)² = -7.2/-4.6

(t-0.45)² = 1.5652

Take the square root of both sides:

t-0.45 = ±√1.5652

t = 0.45 ±√1.5652

t ≈ 0.45 ± 1.25

Therefore, it takes Levi approximately 0.45 + 1.25 = 1.70 seconds or 0.45 - 1.25 = -0.80 seconds to reach the water.

Since time cannot be negative, we can disregard the negative solution. Therefore, Levi takes approximately 1.70 seconds to reach the water.