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Starting from rest, a car is moving with a uniform acceleration of 0.5┬аm/s2. The velocity of the car after 20┬аs is:
15 m/s
0 m/s
5 m/s
10 m/s
10 m/s
The problem asks for the final velocity of a car that starts from rest and undergoes uniform acceleration. Using the first equation of motion, v=u+at, where the initial velocity u is 0, acceleration a is 0.5m/s2, and time t is 20s, the final velocity is calculated as 0.5├Ч20=10m/s.
The problem asks for the final velocity of a car that starts from rest and undergoes uniform acceleration. Using the first equation of motion, v=u+at, where the initial velocity u is 0, acceleration a is 0.5m/s2, and time t is 20s, the final velocity is calculated as 0.5├Ч20=10m/s.
Think of a car at a red light (starting at 0 speed) that pushes the gas pedal gently and steadily; after 20 seconds of that steady push, the speedometer will show a higher, predictable speed.
v=u+at тАФ First equation of motion
v тАФ Final velocity
u тАФ Initial velocity
a тАФ Uniform acceleration
t тАФ Time taken
This is a classic application of kinematic equations for linear motion with uniform acceleration. Since the acceleration is constant, the velocity increases linearly with time starting from the initial velocity at rest.
Starting from rest means initial velocity u=0.
Uniform acceleration implies the rate of change of velocity is constant.
The SI unit for acceleration is m/s2 and for velocity is m/s.
Vehicle acceleration calculations
Analysis of moving objects in physics problems
Calculation: v=0+(0.5├Ч20)=10m/s.
Options A, B, and C are incorrect because they represent different values not consistent with the calculation.
D is correct тАФ Using the formula v=u+at with u=0, a=0.5m/s2, and t=20s, the final velocity is 10m/s.
Always verify if the initial velocity is zero (starting from rest) before applying motion equations, as it simplifies calculations significantly.