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PLEASE HELP I NEED THIS BY TOMORROW

A diver begins on a platform 10 meters
above the surface of the water the divers height is given by the equation h(t)=-4.9t^2+3.5t+10 where r is the time in seconds after the diver jumps

How long does it take the diver to reach a point 1 meter above the water

How many solutions does your equation from part A have

Do all of the solutions to the equation make sense in the situation explain

1 Answer

5 votes

Step-by-step explanation & Answer:

To find how long it takes for the diver to reach a point 1 meter above the water, we need to set the height equation equal to 1 and solve for t:

-4.9t^2 + 3.5t + 10 = 1

-4.9t^2 + 3.5t + 9 = 0

We can solve for t using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / 2a

t = (-3.5 ± √(3.5^2 - 4(-4.9)(9))) / 2(-4.9)

t ≈ 1.65 seconds or t ≈ 1.06 seconds

Therefore, it takes the diver approximately 1.65 seconds or 1.06 seconds to reach a point 1 meter above the water.

The equation from part A has two solutions.

Not all of the solutions make sense in the situation. One of the solutions is negative, which does not make sense in the context of the problem. The other solution is the time it takes for the diver to reach a point 1 meter above the water.

User Lee Benson
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