# When a particle moves with constant acceleration

- The acceleration is said to be constant when both magnitude and direction of acceleration remain constant.
- There will be one-dimensional motion if initial velocity and acceleration are parallel or anti-parallel to each other.

# Some Important Notes

- If a body starts from rest and moves with uniform acceleration then distance covered by the body in
*t*second*t*^{2}(i.e.,*s*∝*t*^{2}).^{2}: 2^{2}: 3^{2}or 1 : 4 : 9. - If a body starts from rest and moves with uniform acceleration, then the distance covered by the body in
*n*th seconds is proportional to (2*n*– 1), i.e.,*s*∝ (2_{n}*n*–1). - A body moving with velocity
*u*is stopped by application of brakes after covering a distance*s*. If the same body moves with velocity*nu*and same braking force is applied on it then it will come to rest after covering a distance of*n*^{2}*s*. - A particle moving with uniform acceleration from
*A*to*B*along a straight line has velocities*v*_{1}and*v*_{2}at*A*and*B*, respectively. If C is the mid-point between*A*and*B*, then velocity of the particle at*C*is equal to