The motion of a particle is described by the equation u=at. The distance travelled by particle in first 4s is. 4a 12a 6a 8a
Question
The motion of a particle is described by the equation
u = at
The distance travelled by the particle in the first 4 seconds is:
- 4a
- 12a
- 6a
- 8a
Solution
The motion of a particle is described by the equation u = at, where 'u' is the velocity, 'a' is the acceleration, and 't' is the time.
The distance travelled by the particle is given by the equation s = ut + 0.5at^2.
Since the initial velocity (u0) is 0 (as the particle starts from rest), the equation simplifies to s = 0.5at^2.
Substituting the given values into the equation:
s = 0.5 * a * (4s)^2 s = 0.5 * a * 16s^2 s = 8as
So, the distance travelled by the particle in the first 4 seconds is 8a.
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