Question
Rebels launch a cannonball from a 58.8ft tall cliff toward their enemy's ship. The cannonball travels 19.6ft per second (ft/s). The equation for the cannonball's height, h, at time, t, after launch is h(t) = -4.9t^2 + 19.6t + 58.8, where h is in feet and t is in seconds.
After how many seconds will the cannonball strike the enemy's ship?
What is tue maximum height the cannonball reaches?
After how many seconds will the cannonball strike the enemy's ship?
What is tue maximum height the cannonball reaches?
Answers
ship impact ... h = 0 ... solve the quadratic for t
time for max height is on the axis of symmetry ... t = -b / 2 a = -19.6 / - 9.8
... plug t into the height equation to find max height
time for max height is on the axis of symmetry ... t = -b / 2 a = -19.6 / - 9.8
... plug t into the height equation to find max height
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