Line Car

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Two cars cover the same distance in a straight line. Car A covers the distance at a constant velocity.?

Car B starts from rest and maintains a constant acceleration. Both cars cover a distance of 491 m in 226 s. Assume that they are moving in the +x direction. Determine (a) the constant velocity of car A, (b) the final velocity of car B, and (c) the acceleration of car B.

<< the constant velocity of car A >>

Va = constant velocity of car A = 491/226

Va = 2.172 m/sec.

<< the final velocity of car B and the acceleration of car B >>

Let

Vb = final velocity of car B
a = acceleration of car B

Since car B, starting from rest, also covered the distance of 491 meters in 226 sec, then the applicable formula is

S = VoT + (1/2)(aT^2)

where

S = 491 m
T = 226 sec

and all the other terms have been previously defined.

Substituting values,

491 = 0 + (1/2)(a)(226)^2

Solving for "a"

a = 0.019 m/sec^2

To determine the final velocity of car B, use the formula

Vb - 0 = 0.019(226)

Vb = 4.3 m/sec.

Hope this helps.

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