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Feb 18, 2016

#1
+111325
+5

I think I can answer some of these.....

a. The spring will be at it's lowest point at 0 and 2pi seconds = -5 cm below the equilibrium point

It will be at it's highest point at pi seconds = +5 cm above the equilibrium point

b. The velocity is given by the derivative of the position function   =

d ' (t)  = v (t)  = 5sin (t)

c.  The speed  will be greatest where the sine reaches its absolute maximum and minimum values, i.e., at  t = pi/2 seconds  and at 3pi/2 seconds......at both times the speed will be 5 cm/s

In the first case, the velocity will be +5cm/s and in the second, it will be -5cm/s

d. The acceleration  is given by the derivative of the velocity function  =

d '' (t)  =  v '(t)  = a (t)  =  5cos( t )

e. The acceleration = 0  at pi/2 seconds and at 3p/2 seconds since the cosine = 0 at these two          values

Feb 18, 2016
edited by CPhill  Feb 18, 2016
#2
0

You are an angel from god, thank you so much I can finally sleep <3 <3 <3 <3

Feb 18, 2016