How Fast Was the Car Initially Moving?

[runner1738]

A car, moving along a straight stretch of highway,begins to accelerate at .0483 m/s^2. it takes teh car 35.9 to cover 1 km. how fast was teh car going when it first began to accelerate? answer in m/s

 

[MathStudent]

35.9 ?? seconds?? minutes??

what are your ideas so far...

 

[christinono]

Look at the list of kinematics formulae you have (if you have any) and decide which one will allow you to find the initial velocity while using the info you were given.

 

[runner1738]

it was 35.9 s sorry

 

[christinono]

Hint hint:
$$d=V_it + \frac{1}{2}at^2$$

 

[runner1738]

1000=1.73397+644.405a, a=1.549128312, wasnt right anymore ideas?

 

[xanthym]

{Distance} = {Initial Velocity}*{Time} + (1/2)*{Acceleration}*{(Time)^2}
(1000) = {Initial Velocity}*(35.9) + (1/2)*(0.0483)*{(35.9)^2}
(1000) = {Initial Velocity}*(35.9) + 31.125
{Initial Velocity} = (968.875)/(35.9)
{Initial Velocity} = (26.988 m/sec) = (60.37 mph)