parachutist jumps out of a plane.  Her height, in metres, above the ground after t seconds is given by s(t) = 1750 – 4.9t2, 0 ≤ t ≤19. a) Determine an algebraic expression in terms of a and h to estimate the average rate of change, over the time interval a ≤ t ≤ a+h b) Use the equation you obtained from part a) to estimate the instantaneous rate of change of her height at each time.  Evaluate with h = 0.01 t = 8 s

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
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A parachutist jumps out of a plane.  Her height, in metres, above the ground after t seconds is given by s(t) = 1750 – 4.9t20 ≤ t ≤19.

a) Determine an algebraic expression in terms of a and h to estimate the average rate of change, over the time interval a ≤ t ≤ a+h

b)

Use the equation you obtained from part a) to estimate the instantaneous rate of change of her height at each time.  Evaluate with h = 0.01

    1. t = 8 s
    2. t = 11 s

c) 

What do the values from part b) represent?  Explain.

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