On a forward summer salt dive, a diver's height, h meters above the water can be modelled by the equation h(t)=-2.9(t-0.6)^2+4.8 where t is the time in seconds after the diver leaves the board
A) determine the height above the water the diver is before he leaves the board.
Do you mean
somersault dive?
Yes
set t=0, solve for h.
To determine the height above the water the diver is before he leaves the board, you need to find the value of h when t is equal to 0.
In the given equation, h(t) = -2.9(t - 0.6)^2 + 4.8.
To find h(0), substitute 0 for t in the equation:
h(0) = -2.9(0 - 0.6)^2 + 4.8.
Next, calculate the value inside the parentheses:
0 - 0.6 = -0.6.
Then, square -0.6:
(-0.6)^2 = 0.36.
Substitute this value back into the equation:
h(0) = -2.9(0.36) + 4.8.
Multiply -2.9 by 0.36:
-2.9 * 0.36 = -1.044.
Then, subtract the result from 4.8:
h(0) = -1.044 + 4.8.
Finally, add -1.044 to 4.8:
h(0) = 3.756.
Therefore, the height above the water the diver is before he leaves the board is approximately 3.756 meters.