compass starts from rest and attains a speed of 72km/hr in 60 seconds. calculate the acceleration of motion and also the distance covered by bus during this time
with proper explanation
Answers
Hey mate thank for the question
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Please see the attachment
Answer:
Acceleration of the compass
➪ ⅓ m/s²
Distance travelled during acceleration
➪ 600 meter
Step by step explanations :
given that,
compass starts from rest and attains a speed of 72km/hr in 60 seconds.
here,
initial velocity of the compass = 0 m/s
[it was initially at rest]
final velocity of the compass = 72 km/h
= 72 × 1000 m/3600 s
= 20 m/s
time to accelerate = 60 seconds
let the acceleration produced by the compass be a
now we have,
initial velocity(u) = 0 m/s
final velocity(v) = 20 m/s
time taken(t) = 60 seconds
acceleration = a
by the equation of motion,
v = u + at
putting the values,
20 = 0 + a(60)
60a = 20
a = 20/60
a = ⅓ m/s²
acceleration of the compass
= ⅓ m/s²
now,
also from the equation of motion
v² = u² + 2as
again putting the values,
(20)² = (0)² + 2(⅓)s
2s/3 = 400
2s = 1200
s = 1200/2
s = 600 m
so,
distance travelled during acceleration
= 600 meter
____________________
Acceleration of the compass
➪ ⅓ m/s²
Distance travelled during acceleration