a particle with an initial velocity of 50 m slows at a constant acceleration to 20 ms-1 over a distance of 105 m. how long does it take for the particle to slow down? (a) 2 s (c) 3 s (b)4 s (d)5 s

Time taken, t = 3 s

Explanation:

It is given that,

Initial velocity of the particle, u = 50 m/s

Final velocity, v = 20 m/s

Distance covered, s = 105 m

Firstly we will find the acceleration of the particle. It can be calculated using third equation of motion as :

So, the particle is decelerating at the rate of 10 m/s². Let t is the time taken for the particle to slow down. Using first equation of motion as :

t = 3 s

So, the time taken for the particle to slow down is 3 s. Hence, this is the required solution.

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