Finding acceleration using velocity

AI Thread Summary
The discussion revolves around calculating acceleration from a given velocity function for a race car starting from rest. The velocity is defined as vx(t) = (0.940 m/s³)t², and the participant initially considers using the equation for displacement. Clarification is provided that the relation they proposed is only valid for specific types of motion, prompting a reevaluation of the problem. Ultimately, the participant successfully calculates the acceleration, confirming it to be 7.46 m/s². This highlights the importance of understanding the relationship between velocity, displacement, and acceleration in physics.
Crusaderking1
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Homework Statement

A race car starts from rest and travels east along a straight and level track. For the first 5.0 s of the car's motion, the eastward component of the car's velocity is given by vx(t)=(0.940 m/s3)t2

Homework Equations



I think I am suppose to use the equation x-x0=(v0+v)/2)t

The Attempt at a Solution



I know the givens are x0=0 and t=5.00s, but I don't know how to use vx to solve for acceleration. Thanks.

You guys didn't happen to obtain7.46 m/s^2 as the answer, did you?
 
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Crusaderking1 said:
the car's velocity is given by vx(t)=(0.940 m/s3)t2I think I am suppose to use the equation x-x0=(v0+v)/2)t

No, that relation is valid between displacement and velocity for a special kind of motion, what is it? Is it the same as the motion in the problem?

Do you need to get the displacement or the acceleration?


Hint: how is velocity and displacement related in general? How is acceleration defined?

ehild
 
ehild said:
No, that relation is valid between displacement and velocity for a special kind of motion, what is it? Is it the same as the motion in the problem?

Do you need to get the displacement or the acceleration?


Hint: how is velocity and displacement related in general? How is acceleration defined?

ehild

ok thanks! I just figured it out. =)

the answer is 7.46 m/s^2.
 
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