If two automobiles have the same velocity do they have the same acceleration?

Question

raffle_snaffle · Answer

yes, they would have the same velocity...

raffle_snaffle · Answer

Do you know why though?

anonymous · Answer

No

anonymous · Answer

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anonymous · Answer

$$\left[ \frac{ Dv }{ Dt }\right] _{t = t1}   =      \left[ \frac{ Dv }{ Dt }\right] _{t = t2}         aunque         V(t1) \neq V(t2)$$

shane_b · Answer

Just because they have the same velocity does NOT mean they have the same acceleration.

raffle_snaffle · Answer

Think about it this way. Take two objects with different masses, drop them off a tall structure. The acc. will be the same, but the velocity is going to be different.

anonymous · Answer

Thanks

anonymous · Answer

Acceleration is the derivative of velocity.

goformit100 · Answer

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shane_b · Answer

@raffle_snaffle said: "Take two objects with different masses, drop them off a tall structure. The acc. will be the same, but the velocity is going to be different."

That's not correct :)  They will have different KE and PE values due to their differences in mass but their velocities will be the same throughout the fall.

No where in the equations for constant acceleration will you find mass.