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.