(a) Write the formula for acceleration. Give the meaning of each symbol which occurs in it.

(b) A train starting from railwaystation attains a speed of 21 $\frac{m}{s}$ in one minute. Find its acceleration.

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Solution

(a) Let the initial velocity be 'u' and final velocity be 'v'.
Time taken to change the velocity from u to v = 't'
We know that acceleration means a change in velocity.
Hence, acceleration = $\frac{(v - u)}{t}$

(b) Initial velocity of train = 0
Final velocity of train = 21 $\frac{m}{s}$
Time taken = 1 minute = 60 sec
So, acceleration = $\frac{(C h a n g e i n v e l o c i t y)}{t i m e}$ = $\frac{(v - u)}{t}$ = $\frac{(21 - 0)}{60}$ = $\frac{21}{60}$ = 0.35 m/ $s^{2}$

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Q. (a) Derive the formula :

s = u t + \frac{1}{2} a t^{2}

, where the symbols have usual meanings.
(b) A train starting from stationary position and moving with uniform acceleration attains a speed of 36 km per hour in 10 minutes. Find its acceleration.

(a) Derive the formula: $s = u t + \frac{1}{2} a t^{2}$ , where the symbols have usual meanings.

(b) A train starting from stationary position and moving with uniform acceleration attains a speed of 36 km per hour in 10 minutes. Find its acceleration.

A train starting from a railway station and moving with uniform acceleration attains a speed 40 km h⁻¹ in 10 minutes. Find its acceleration.

Q. Question 3
A train starting from a railway station and moving with uniform acceleration attains a speed 40 kmph in 10 minutes. Find its acceleration.

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(a) Write the formula for acceleration. Give the meaning of each symbol which occurs in it. (b) A train starting from railwaystation attains a speed of 21 ms in one minute. Find its acceleration.

(a) Write the formula for acceleration. Give the meaning of each symbol which occurs in it.

(b) A train starting from railwaystation attains a speed of 21 $\frac{m}{s}$ in one minute. Find its acceleration.