12. A lorry moving with uniform acceleration covers
a distance of 180 m from point A to point B along
a straight path in 15 s. Its velocity , while passing
through point B, is 20 m s-1.
(a) What is the velocity of the lorry at the time of
passing through point A?
(b) What is its acceleration?
please , I need the solution asap, with full process.
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Answer:
The velocity of the lorry at the time of passing through point A is 4 m/s and acceleration of the lorry is
Explanation:
Given the distance covered by the lorry, AB (d) = 180 m.
Time taken from point A to B, t = 15 s.
The initial velocity at A = u = ?
The final velocity of lorry at point B, v = 20 m/s.
Formula for distance covered by a particle moving in a straight line with uniform acceleration is given as,
substitute the given values, we get
24m/s = u + 20 m/s
u = 4 m/s.
Now to calculate the acceleration of the lorry, use first equation of motion as,
v = u + at
20 m/s = 4 m/s + a x 15 s
Thus, the velocity of the lorry at the time of passing through point A is 4 m/s and acceleration of the lorry is .
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