By
vector addition.
In fact, velocity is a vector, with a magnitude intensity, a direction and a verse, so we can't simply do an algebraic sum of the two (or more velocities).
First we need to decompose each velocity on both x- and y-axis (if we are on a 2D-plane), then we should do the algebraic sum of all the components on the x- axis and of all the components on the y-axis, to find the resultants on x- and y-axis. And finally, the magnitude of the resultant will be given by

where Rx and Rx are the resultants on x- and y-axis. The direction of the resultant will be given by

where

is its direction with respect to the x-axis.
That could be a symptom but I recommend going to your doctor just to be on the safe side!
A (max)= A (2pi/T)
a (max)= maximum acceleration
A= amplitude
T= periodic time
by definition, amplitude is the displacement from equillibrium point.
we see that maximum acceleration is directly proportional to the amplitude. so tripling the amplitude will triple the maximum acceleration.
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