1)the distance D in feet that an object has fallen after t seconds is given by D

Question

1)the distance D in feet that an object has fallen after t seconds is given by D(t)=16t^2

a)evaluate D(2) & D(5).

b) Calculate slope of the secant line through D(2) and D(5) on the graph of D and interpret the answer in terms of an average rate of change of D from 2 to 5.

2) the distance and object is from the ground after being tossed from a hot air balloon 750 ft in the air is a function of time:f(t) = -16.1t^2 + 6.3t +750, where f(t) is height and t is the amount of time the object has been in the air. predict the height of the object after 5.5 seconds.

3) Northwest Molded molds plastic handles which cost $1.00 per handle to mold. the fixed cost to the run the molding machine per week is $3345.00. if the company sells the handles for $4.00 each, how many handles must be molded weekly to break even (zero proift)

Explanation / Answer

Q1) D(2) = 16*2*2 = 64

D(5) = 16*5*5 = 400

Average rate = (400-64)/(5-2) = 112

Q2) f(5.5) = -16*5.5*5.5+6.3*5.5+750 = 300.65 ft

Q3) Profit = Revenue - Expenses

0 = 4n-(1*n+3345)

n = 1115

So, no of handles must be molded weekly to break even (zero proift) will be 1115

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