Question

A small piece of Styrofoam packing material is dropped from a height of 2.00 m above the ground. Until it reaches terminal speed, the magnitude of its accelera- tion is given by a g bv. After falling 0.500 m, the Styrofoam effectively reaches its terminal speed, and then takes 5.00 s more to reach the ground. (a) What is the value of the constant B? (b) What is the acceleration at t = 0? (c) What is the acceleration when the speed is 0.150 m/s?

Answer 1

Step-by-step explanation:

Given

total height h=2 m

acceleration is given by

a=g-bv

after falling 0.5 m Styrofoam acquires its terminal velocity

remaining distance to fall is 2-0.5=1.5 m

time taken after acquiring terminal velocity is 5 s

`v_(terminal)=(1.5)/(5)=0.3 m/s`

at terminal velocity a=0

thus g-bv=0

`b=(9.8)/(0.3)=32.66`

at t=0 acceleration

`a=9.8-32.66\cdot 0`

`a=9.8 m/s^2`

(c)acceleration when speed is 0.15 m/s

`a=9.8-32.66\cdot 0.15=4.89 m/s^2`