Time to Accelerate from 30.0 m/s to 50.0 m/s - 5s

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In summary, using the formula for time as change in velocity over acceleration, the time it takes for a mass to accelerate from 30.0m/s (south) to 50.0m/s (north) with a constant acceleration of 4.0m/s^2 (north) is 5 seconds. It is important to remember that velocity is a vector and take into account the direction of the change in velocity.
  • #1
soulja101
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Homework Statement


How long will it take a mass to accelerate from 30.0m/s (south) to 50.0m/s(north) if its acceleration isa sonstant 4.0m/s2(north)


Homework Equations


displacement=V/Time
Aav=V/time

The Attempt at a Solution


a=4.0ms2
v=20ms
d=Vav*time
time=v/acceleration
20ms/4.0ms2
=time is 5s
 
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  • #2
No, you have the correct equation, but your change in velocity is incorrect. At the beginning, the mass is moving 30 m/s south and we want it to accelerate and reach 50m/s north. Remember that velocity is a vector.
 
  • #3
i think u can use this simple formula whcih is
time= change in velocity (vf-vi)/ acceleration
and remember south and north are oppostite directions *hint*
 
Last edited:

1. How is acceleration defined?

Acceleration is defined as the rate of change of an object's velocity over time. It is represented by the formula a = (vf - vi)/t, where vf is the final velocity, vi is the initial velocity, and t is the time interval.

2. What is the difference between average and instantaneous acceleration?

Average acceleration is the overall change in velocity divided by the total time taken, while instantaneous acceleration is the acceleration at a specific moment in time. In the case of "Time to Accelerate from 30.0 m/s to 50.0 m/s - 5s", the average acceleration would be (50.0 m/s - 30.0 m/s)/5s = 4 m/s^2, while the instantaneous acceleration would vary as the velocity changes over the 5 seconds.

3. How does mass affect acceleration?

The mass of an object does not directly affect its acceleration. However, a larger mass will require a greater force to accelerate at the same rate as a smaller mass. This is represented by Newton's Second Law of Motion, F = ma, where F is the force applied, m is the mass, and a is the acceleration.

4. What other factors can affect the acceleration of an object?

In addition to mass, other factors that can affect the acceleration of an object include the applied force, the direction of the force, and the presence of external forces such as friction or air resistance. These factors can either increase or decrease the acceleration of an object.

5. Can an object accelerate indefinitely?

No, an object cannot accelerate indefinitely. As an object's velocity increases, the resistance from the surrounding environment also increases, making it more difficult to continue accelerating. Eventually, the object will reach a maximum velocity, or terminal velocity, where the forces acting on it are balanced and it no longer accelerates.

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