What is the formula for finding initial velocity from acceleration and distance?

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To find the initial velocity of a car accelerating at 1.65 m/s² over a distance of 30 m, relevant kinematic equations must be utilized. The key equations include v = v₀ + at and s = v₀t + 0.5at². The initial velocity can be calculated by rearranging these equations to incorporate the known variables: acceleration, distance, and time intervals. The discussion highlights the importance of correctly identifying and applying the appropriate kinematic equations to solve for initial velocity. Accurate formulation is essential for solving such physics problems effectively.
mcryder16
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Homework Statement



A car accelerates at 1.65 m/s2 along a straight road. It passes two marks that are 30 m apart at times 2.4 s and 4.8 s. What was the car's initial velocity?


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Well you should list some relevant equations. Here is what you know: a, x, and change in time. And you want to know v_0.

So in your list of kinematic equations, do you have an equation that has all 4 of those variables?
 
v = vo + at
s = 1/2 at2
v2 = v02+2as

choose one
 
Your 2nd equation you listed is inaccurate TaiwanCountry. You forgot to mention the initial velocity in that equation.
 

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