Question

A particle moves with a uniform speed of 2 m/s in x-
y plane according to the equation y= 4x, where x and
yare in metre. The acceleration of the particle along y
axis while passing through the origin has magnitude
​

Answer 1

Step-by-step explanation:

Given,

x=4t

2

+5t+16

y=5t

velocity along x-axis

v

x

=

dt

dx

=(8t+5)m/s

acceleration along x-axis,

a

x

=

dt

v

x

=8m/s

velocity alon y-axis

v

y

=

dt

dy

=5m/s

acceleration along y- axis,

a

y

=

dt

v

y

=0m/s

The acceleration of the particle is given by

a

=a

x

i

^

+a

y

j

^

∣

a

∣=

a

x

2

+a

y

2

a=

8

2

+0

2

=8m/s

2

The correct option is A.