The graph to the right is a plot of position versus time. For which labeled region is the velocity positive and the acceleration negative?

Options

A. a
B. b
C. c
D. d

Answer

D

Explanation

For d
slope `dx//dt` is
`+ve`, so velocity is `+ve`
But `(d.((dx)/(dt)))/(dt)` is -vebecause slope decreasing
so `(d.((dx)/(dt)))/(dt)= (d^(2)x)/(dt^(2))` is -ve, therefore acceleration is -ve