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Speed / Velocity Time Graphs

A particle is...

Question

A particle is moving with uniform acceleration, in eighth and thirteenth second after starting it moves through 255cm respectively. Find its initial velocity and its acceleration

300

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400

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500

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600

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Solution

The correct option is A 300
$M a k i n g u s e o f t h e f o r m u l a e s f o r n^{t h} s e c o n d = u + \frac{1}{2} a (2 n - 1) w h e r e u = i n i t i l a v e l o c i t y; a = a c c e l e r a t i o n; n = t i m e s a t 8 s e c = u + \frac{1}{2} a {2 (8) - 1} 255 c m = u + \frac{15}{2} a - - - - - - (1) s a t 13 s e c = u + \frac{1}{2} a {2 (13) - 1} 225 c m = u + \frac{25}{2} a - - - - - - (2) 1 - 2 w e g e t a = - 6 c m / s N o w p u t t i n g t h e v a l u e o f a i n e q a u t i o n 1 w e g e t u = 300 c m / s$

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A particle is moving with uniform acceleration, in eighth and thirteenth second after starting it moves through 255cm255cm respectively. Find its initial velocity and its acceleration

A particle is moving with uniform acceleration, in eighth and thirteenth second after starting it moves through 255cm respectively. Find its initial velocity and its acceleration