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 tsecond is proportional to t2 (i.e., s ∝ t2).

So we can say that the ratio of distance covered in 1 s, 2 s, and 3 s is 12 : 22 : 32 or 1 : 4 : 9.
• If a body starts from rest and moves with uniform acceleration, then the distance covered by the body in nth seconds is proportional to (2n – 1), i.e., sn ∝ (2n –1).

So, we can say that the ratio of distance covered in 1st, 2nd, and 3rd, is 1 : 3 : 5.
• 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 n2s.
• A particle moving with uniform acceleration from A to B along a straight line has velocities v1 and v2 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