42. A bus starting from a bus-stand and moving with uniform acceleration attains a speed of 20 km/h in 10 minutes. What is its acceleration ?
(a) 200 km/h
(c) 120 km/h
( c) 100 km/h
(d) 240 km/h
Answers
Answer:
initial speed u = 0 (started from rest)
Final speed v = 20 km/hr
time t = 10 minutes= 1/6 hr
acceleration a = ?
20 = 0 + a x 1/6
a = 120 km/h²
Explanation:
Concept:
The rate at which an object's velocity with respect to time changes is called its acceleration.
Velocity is the direction at which an object is moving and serves as a measure of the pace at which its position is changing as seen from a specific point of view and as measured by a specific unit of time.
Given:
The speed of the bus within 10 minutes of starting is 20 km/h.
Find:
The acceleration of the bus.
Solution:
The initial velocity of the bus, u = 0 km/h
The velocity of the after t = 10 min is v = 20 km/h.
Now, t = 10 min = 0.167 hr
Using the equation of motion,
v = u + at
20 = 0 + a(0.167)
a = 120 km/h²
The acceleration of the bus after 10 minutes is 120 km/h².
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