Rectilinear motion:

When the particle or a body moves in the straight line, motion is said to be rectilinear motion. Here we will study rectilinear motion of the particle when it moves with the uniform or constant acceleration.

Equations of Motion:        

A particle moves along the straight line with the initial velocity u and constant acceleration 'a' from the fixed point. If v be velocity acquired in time 't' and s be distance travelled by particle in time 't'. Then

Remark:

If particle moves in the straight line with a retardation g then we put -a in place of a.

• v = u - at
• s = ut - 1/2at²
• v² = u² - 2as

Distance Travelled in a Particular Time

If the particle begins with the initial velocity u m/sec and the uniform acceleration a m/sec², distance travelled in n^th second can be given by S_n = u + 1/2a(2n -1)

Average Velocity:

Assume that a particle moves in a straight line with the initial velocity u m/sec and constant or uniform acceleration a m/sec². If v is velocity of particle at time t, then its average velocity during interval of time t can be given by (u+v)/2 and distance travelled in t time is (u+v) x t.

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