Question

The velocity (v) of a particle moving along x-axis
varies with its position x as shown in figure. The
acceleration (a) of particle varies with position (x) as

(1) a= x + 3
(2) a = 2x2 + 4
(3) 2a = 3x + 5
4) a=4X-8​

Answer 1

a=4x-8.....

Explanation:

y=mx+c

v=(-2)x+4 (I)

since the angle made by slope is obtuse hence the negative sign.

Differentiating this you'll get

a= (-2)v

Put the value of v from (I)

a= (-2)(-2x+4)

=4x-8