Lakhmir Singh Solutions Class 9 Physics Solutions for Exercise in Chapter 1 - Motion
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a) Derive the formula: \mathrm{s=ut+\frac1 2 at^2}
b) A train starting from a stationary position and moving with uniform acceleration attains a speed of 36km per hour in 10 minutes. Find its acceleration.
Answer:
a) Average velocity = (initial velocity + final velocity)/2
= u + v/2
Distance travelled = (average velocity ) (time)
s = (u+v/2) (t)
s = (2u+at/2) (t)
s = (2u + at)(t)/2
\mathrm{s=2ut+\frac{at^2}{2}}
\mathrm{s=ut+\frac1 2 at^2}
Where,
s is the distance travelled by the body
t is the time taken
u is the initial velocity
v is the final velocity
b) Acceleration = final velocity – initial velocity/time taken = 0.016 \mathrm{m/s^2}
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