For a growing quantity to reach a value 32 times its initial value, how many doubling times are required? a) 4
b) 5
c) 16
d) 8

B) n=5

Explanation:

We call the initial value Xo. We start to double this initial value

X1=2*Xo     n=1

We double again:

X2=2*X1=2*(2Xo)      n=2

X2=2*X1=2^2*Xo      n=2

In general:

Xn=(2^n)*Xo

If we want to reach a value 32 times its initial value:

2^n=32

then: n=5

2^5=2*2*2*2*2=32

a displacement distance is size of displ

0.19 m/s and 0.45 m/s