Question

Velocity of a particle is v-(2x + 1) m/s where x is position in metre then find acceleration of this particle at x = 1 m:-​

Answer 1

Answer:

The velocity of a particle at a position is given a

v

2

=2x. . . . . . . . . . . .. . .. (1)

Acceleration, a=v

dx

dv

. . . . . . . .(2)

Differentiate equation (1) with respect to x,

dx

d(v

2

)

=2

dx

d(x)

2v

dx

dv

=2×1

v

dx

dv

=1. . . . . . . . . . .(3)

From equation (2) and (3), we get

a=1m/s

2