a particle starts moving from rest with uniform acceleration . it travels a distance y in the next 2 sec
a particle starts moving from rest uniform acceleration .it travels a distance x in the first 2 sec and a distance y in the next 2 sec .then
and....
To find the acceleration of the particle, we can use the equation for distance traveled under uniform acceleration:
y = ut + (1/2)at^2
where:
y = distance traveled
u = initial velocity (assuming the particle starts from rest, u = 0)
t = time
a = acceleration
Since the particle starts from rest, its initial velocity is zero (u = 0). The equation simplifies to:
y = (1/2)at^2
Now we are given that the particle travels a distance y in the next 2 seconds. We can substitute these values into the equation:
y = (1/2)a(2^2)
Simplifying further:
y = 2a
Dividing both sides of the equation by 2, we get:
a = y/2
Therefore, the acceleration of the particle is given by a = y/2.