1.Motion of an ObjectThe position of an object moving along a straight line is given by of the object after2sec. (Round your answers to three decimal places.)

s=t squareroot(4t²+2)

(0t5)

wheresis measured in feet andtin seconds.

Find the velocityv(t) ________

and accelerationa(t) ________

2.Present Value of an AnnuityEstimate the present value of an annuity if payments are $750monthly for 12 years and the account earns interest at the rate of 10%/yr compounded continuously. (Round your answer to two decimal places.)

3.Consumers' SurplusThe demand function for a certain make of replacement cartridges for a water purifier is given by the following equation wherepis the unit price in dollars andxis the quantity demanded each week, measured in units of a thousand.

p=0.01x²0.2x+40

Determine the consumers' surplus if the market price is set at $5/cartridge. (Round your answer to two decimal places.)

1.Amusement Park AttendanceThe management of Astro-World ("The Amusement Park of the Future") estimates that the number of visitors (in thousands) entering the amusement parkthr after opening time at 9 A.M. is given by

R(t) =60/(2 +t²)^^3/2

per hour. Determine the number of visitors admitted by1 P.M.(Round your answer to the nearest whole number.)

______________________visitors