Problema Solution
Lisa is measuring The death of a well she drops the ball from the height of h feet into the well and measures how long it takes the ball to hit the bottom of the well. the polynomial -16t^2 plus 0t plus h models the situation where zero is initial speed of the ball and H is the height it was dropped from. she raises her arm very high end drops the ball from a height of 6 feet her stopwatch measured a time of 3.5 seconds how deep is the well
Answer provided by our tutors
The polynomial that models the situation is:
f(t) = -16t^2 + 0*t + H
t = 3.5
f(3.5) = - 16*3.5^2 + 0*3.5 + (H + 6)
and also f(3.5) = 0
Now can write the following equation:
- 16*3.5^2 + 0*3.5 + (H + 6) = 0
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click here to see the equation solved for H
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H = 190 ft
The well is 190 feet deep.