SOLUTION: A ball is thrown up at the edge of a 274 foot cliff. The ball is thrown up with an initial velocity of 107 feet per second.
Its height measured in feet is given in terms of time
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Its height measured in feet is given in terms of time
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Question 652987: A ball is thrown up at the edge of a 274 foot cliff. The ball is thrown up with an initial velocity of 107 feet per second.
Its height measured in feet is given in terms of time t, measured in seconds by the equation h= -16t**2 + 107t + 274
a. How high will the ball go and how long does it takes to reach that height? feet? seconds ?
b. How long does it take the ball to come back to the ground ? seconds?
a. Either use the formula for the horizontal ( in this case) coordinate of the vertex of the parabola, namely or set the first derivative equal to zero and solve for the same value to get the time that the ball reaches its maximum height. Then evaluate the function at that value to find the value of the maximum height.
b. Set the function equal to 0 and then solve the quadratic equation. Discard the negative root.
John
My calculator said it, I believe it, that settles it
