Question

23. 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
v (m/s)
*
x (m)
21
(1) a2 = x + 3
(2) a = 2x2 + 4
(3) 2a = 3x + 5
(4) a = 4x - 8
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Answer 1

Answer:

( 4 )

Explanation:

from the graph : v = 4 - 2x , this is the equation of the straight line

differentiate both sides with respect to t , t = time

dv/dt = -2dx/dt

a = -2v

a = -2 (4-2x) = -8 + 4x

a = 4x -8

select ans.   ( 4 )