Example 2 - A ball is thrown straight up from the top of a 288 foot tall building with an initial speed of 48 feet per second. The height of the ball as a function of time can be
modeled by the function h(t) = -16t? +48t + 288. When will the ball reach a height of 320
feet?

step 1. h(t) = -16t^2 + 48t + 288. Set this equal to 320.

step 2. -16t^2 +48t + 288 = 320

step 3. -16t^2 + 48t - 32 = 0

step 4. -16(t^2 - 3t + 2)

step 5. -16(t - 2)(t - 1)

step 6. The ball reaches 320 feet "both!!!" at t = 1, 2 seconds once going up and once coming down.

so, converting firstly the mixed fractions to improper fractions and then "adding".

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step-by-step explanation: