Velocity when acceleration is half-Olympiad Problem

In summary, the formula for calculating velocity when acceleration is half is v = u + (a/2)t, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. In this problem, the value of acceleration is given as half of the usual value, which is equal to 4.9 m/s^2, and can be used for any type of motion with constant acceleration. The value of acceleration directly affects the final velocity, and in this problem, the use of half-Olympiad units makes it more challenging and emphasizes the importance of units in scientific calculations.
  • #1
rajathjackson
9
0
Q: The motion of a body is given by the equation dv/dt=6-3v.If the body was at rest at t=0 then:

The speed is 1m/s when the acceleration is half of the initial value. (True/False)



My approach:

At t=0 the acceleration of the particle is 6m/s^2.Therefore,
3=6-3v

which gives v=1m/s.
So I selected 'true'. But the answer is given to be 'false'. What is wrong with my calculation?
 
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  • #2
Nothing, the answer model is wrong.
 

1. What is the formula for calculating velocity when acceleration is half?

The formula for calculating velocity when acceleration is half is v = u + (a/2)t, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

2. How do you determine the value of acceleration in this problem?

In this problem, the value of acceleration is given as half of the usual value, which is equal to 4.9 m/s2. This is because the problem is using half-Olympiad units.

3. Can you use this formula for any type of motion?

Yes, this formula can be used for any type of motion as long as the acceleration is constant. It is a simplified version of the equation v = u + at, where a is the constant acceleration.

4. How does the value of acceleration affect the final velocity?

The value of acceleration directly affects the final velocity. If the acceleration is higher, the final velocity will be higher, and if the acceleration is lower, the final velocity will be lower. In this problem, since the acceleration is half, the final velocity will also be half of what it would have been with the usual acceleration value.

5. What is the significance of using half-Olympiad units in this problem?

The use of half-Olympiad units is meant to make the problem more challenging and to test the understanding of the relationship between velocity, acceleration, and time. It also helps to demonstrate the importance of units in scientific calculations.

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