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Starting from rest, a train is moving with a uniform acceleration of 0.8 m/s2. The velocity of the train after 15 s is:
10 m/s
12 m/s
14 m/s
16 m/s
12 m/s
To determine the final velocity of an object under uniform acceleration, we use the first kinematic equation. Given initial velocity u=0┬аm/s (starts from rest), acceleration a=0.8┬аm/s2, and time t=15┬аs, the calculation is v=u+at=0+(0.8├Ч15)=12┬аm/s.
To determine the final velocity of an object under uniform acceleration, we use the first kinematic equation. Given initial velocity u=0┬аm/s (starts from rest), acceleration a=0.8┬аm/s2, and time t=15┬аs, the calculation is v=u+at=0+(0.8├Ч15)=12┬аm/s.
Think of a car at a red light starting to accelerate when it turns green; as the driver presses the pedal steadily, the speedometer needle rises at a constant, predictable rate.
Remember 'VAT' for 'Velocity, Acceleration, Time': v=u+at.
v=u+at тАФ First equation of motion relating velocity, initial velocity, acceleration, and time.
The principle of uniform linear motion states that the velocity of an object increases at a constant rate over time under a constant acceleration. Mathematically, acceleration is defined as the rate of change of velocity: a=tvтИТuтАЛ. By rearranging this, we derive the standard equation of motion for constant acceleration.
Uniform acceleration implies that the rate of change of velocity is constant.
Starting from rest always implies an initial velocity u=0┬аm/s.
Units must be consistent; here, all values are in SI units (meters, seconds).
Simplifies calculations for objects moving in a straight line with constant force.
Not applicable to non-uniform or variable acceleration scenarios.
Analyzing vehicle performance during acceleration.
Calculating kinematics of objects falling under gravity (where a=g).
Standard gravitational acceleration gтЙИ9.8┬аm/s2.
Option A is too low, Options C and D exceed the product of 0.8 and 15.
B is correct тАФ Using the kinematic equation v=u+at, the final velocity is calculated to be 12┬аm/s.
Always verify if the object starts from rest (u=0) or has an initial velocity to avoid errors in kinematic calculations.