the velocity of a motorcycle increases by an acceleration of 2 metre per second and become 20 metre per second in 5 second find the initial velocity of a car
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Given :
Acceleration = 2m/s²
Final velocity = 20m/s²
Time interval = 5s
To Find :
Initial velocity of motorcycle.
Solution :
⧪ Acceleration is defined as the rate of change of velocity
- It is a vector quantity having both magnitude as well as direction.
- It can be positive, negative or zero.
- SI unit : m/s²
- CGS unit : cm/s²
Motorcycle has constant acceleration throughout the motion, so we can apply equation of kinematics in order to find initial velocity of bike.
Let's apply first equation of kinematics;
➠ v = u + at
- v denotes final velocity
- u denotes initial velocity
- a denotes acceleration
- t denotes time
By substituting the values;
➠ 20 = u + (2)(5)
➠ 20 = u + 10
➠ u = 20 - 10
➠ u = 10 m/s
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