The speed of a bus increases uniformly from 15 metre per second to 60 metre per second in 20 seconds. Calculate the
a) the average speed
b) the acceleration
c) the distance traveled during the entire period
Answers
The average speed of the car is 37.5m/s, acceleration is 2.25 m/s² & the distance travelled during the entire period is 750 m.
Explanation:
The initial speed of the bus, u = 15 m/s
The final speed of the bus, v = 60 m/s
Time, t = 20 seconds
Step 1: Acceleration of the bus
The acceleration of a body can be calculated as the ratio of the change in its velocity to the time taken, i.e.,
a = [v-u]/t = [60 – 15] / 20 = 45/2 = 2.25 m/s²
Step 2: Distance travelled during the entire period
Let the distance travelled during the entire period be denoted as “S” meter.
Now, using Newton’s Law of motion, we have
S = ut + ½ at² = [15*20] + [½ *2.25*(20)²] = 300 + 450 = 750 m
Step 3: Average Speed of the bus
The formula for average speed is given by,
Avg. Speed = [total distance] / [total time] = 750 / 20 = 37.5 m/s
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