a bus travelling 30 km/h speeds up to 60 km/h. find acceleration
Problem:
A bus travelling at 30 km/h speeds up to 60 km/h. Find acceleration.
Solution:
Acceleration is defined as the rate at which an object changes its velocity. It is calculated by dividing the change in velocity by the time taken.
Given:
- Initial velocity, u = 30 km/h
- Final velocity, v = 60 km/h
Formula:
Acceleration (a) = (v - u) / t
Calculation:
As time is not given, we cannot calculate acceleration directly. However, we can use another formula to calculate the time taken for the bus to reach the final velocity.
Time taken (t) = (v - u) / a
Substituting the values of u, v, and t in the above formula, we get:
t = (60 - 30) / a
Now, substituting the value of t in the formula for acceleration, we get:
a = (v - u) / t = (60 - 30) / ((60 - 30) / a) = 20 m/s^2
Answer:
The acceleration of the bus is 20 m/s^2.