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5.

An object thrown at 189 vertical feet per second from a height of 109 ft has a height modeled by, h(t) = - 16t2 + 189t + 109 Where h(t) is the height of the object (in feet) t seconds after it was thrown. Using nearby average velocities, estimate the instantaneous velocity at 10 seconds. ft per secondGiven f(x) = - 8x - 3, find the average rate of change of f() on the interval [2, 2 + h]. Your answer will be an expression involving h. Simplify as much as possible. Average rate of change =Estimate the slope of the line tangent to f(x) - 7x + 8x - 6 at x - - 5, using a few secant line slopes near x = - 5. Slope =A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 49 ft/s. Its height in feet after t seconds is given by y = 49t - 15t2. A. Find the average velocity for the time period beginning when t=3 and lasting .01 s: 005 s: 002 S: 001 s: NOTE: For the above answers, you may have to enter 6 or 7 significant digits if you are using a calculator. Estimate the instanteneous velocity when t=3