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Physics problem

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I know this is dumb but I'm stuck with this problem please help:

Object A starts from the origin velocity 3 m/s and object B starts from the same place with the velocity 5 m/s, 6 seconds later. When will B Catch up with A?
>>
To find position equations, you want to express the velocity as an integral. In the case of constant velocities, the equation is v * t + b, with b being the initial position. So the equations for A and B would be A=3t and B=5t.

B starts 6 seconds later, so by the time B moves, A is already at its position for t=6 seconds. Initial position of A=3 * 6seconds = 18m. Initial position of B = 0.The new equations are A=3t+18 and B=5t.

You want to know when the position of B equals that of A, so we set 3t+18=5t. Moving the equation around, we get 2t=18. So they are at same position at t=9 seconds, which is your answer.
>>
>>375453
Thank you so much I looked for an answer for well over an hour and now that you explained it. I'm embarrassed to not have it understood earlier. Anyways thank you.
>>
Oops, lemme correct my answer - You're already at time =6 when it starts, so add 6 to the time elapsed. 6+9=15 seconds, which is the correct answer.
>>
>>375446

t1=6s--> s1=3m/s 6s = 18m

-->xs 5m/s = xs 3m/s + 18m

-->5x = 3x + 18 --> x=9

--> 9s after t1 = 15s at all
>>
>>375459
haha yeah thank you again.
>>
>>375460
Haha thank you too.
Thread posts: 7
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