Finding the Maximum Height of a Toy Rocket Modeled by
To find the maximum height of a toy rocket shot upward from the ground at a rate of 208 ft/sec, modeled by the quadratic equation , we can determine the vertex of the corresponding downward-opening parabola. Since the leading coefficient is negative, the parabola opens downward, and the vertex represents the maximum value.
First, calculate the time at which the maximum height occurs by finding the axis of symmetry:
The rocket reaches its maximum height after 6.5 seconds. Next, evaluate the maximum height by substituting into the equation:
The maximum height of the toy rocket is 676 feet.
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