Question

The figure shows a position versus time graph for a moving object. 

At which lettered point is the object moving the fastest?

The figure shows a position versus time graph for a moving object. 

At which lettered point is the object moving the fastest?

Answer 1

1.For position vs time graph slope of curve is velocity.

At lattered point D slope is largest .

so at lattered point D the object is moving fastest.

2.this is sin wave-

The wave equation is -

Position (y)=asin(t) and velocity (v)=dy/dt=acos(t)

=2π/T where T is time period

At point B ,t=T/4,gives v=0

So at point B object moving slowest.

( The slope at point B is zero so velocity at point B is zero)