An object is attached to the bottom of a light vertical spring and set vibrating. The maximum speed of the object is 15 cm/sec and the period is 628 milli-seconds. The amplitude of the motion in cm is:. a. 3.
b. 2.
c. 1.5.
d. 1.0.

The correct option is c: 1.5 cm.

Step-by-step explanation:

The amplitude of the motion can be calculated using the following equation:

Where:

A: is the amplitude

v: is the speed = 15 cm/s

ω: is the angular speed

First, we need to find the angular speed:

Where:

T is the period = 628 ms

Now we can find the amplitude:

Therefore, the correct option is c: 1.5 cm.

I hope it helps you!                          

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.