A toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation h(t) = - 16t? + 128t (if air resistance is neglected). How high is the rocket off the ground when it is launched? (Hint: what would the t be at launch time?) 1. 2. At what time does the maximum height occur? (Hint: This is the t value of the vertex) 3. How high does the rocket go? (Hint: This is the h(t) value of the vertex) 4. What is the axis of symmetry? 5. When does the rocket hit the ground? (Hint: Set the equation equal to 0 and solve the equation. Easy to do by factoring) 6. How high is the rocket at 2 seconds? (Hint: t= 2) 7. When is the rocket at 252 feet? (Hint: You will need to set h(t) equal to 252 and use the quadratic equation)

A runner runs in a straight line and their distance traveled at time t is given by the formula d(t)=3t-0.05t2, where distance is in feet and t is in minutes.  Find the runners' average speed during the 2-minute interval beginning at time t=1. ANSWER:  ________ feet per minute  If rounding is necessary, round to two digits after the decimal.

(1) Delbert is scuba diving at a depth of 400 meters when he begins to ascend. He ascends by 10 meters each minute. Write an equation for Delbert’s altitude, A, in terms of t. Also: Complete the table of values showing Delbert’s altitude, A, t minutes after starting his ascent.  t    =   0        10       20     30       40 A   =   ?          ?         ?        ?         ?

helpp....i did half