Physics

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1) A car traveling at 22m/s decelerates at a constant 1.5m/s^2. Calculate the time it takes to stop.
I first calculated the distance which is 160 m. Then I used the formula d=vit+1/2at^2. I got a quadratic -0.75t^2+22t-160. I got 13 or 16 as my time, but the answer says 15. Would it be correct to take the average of those times?

2) A stone is dropped from the roof of a high building. A second stone is dropped 1s later. How far apart are the stones when the second one has reached a speed of 23.0m/s?
I set this problem up by writing the given for stone 1 and stone 2.
Some equations I got were d(s1)= 4.905t^2 and ts2=ts1+1

I don't know how to do the problem.

  • Physics -

    1. No, not the average.

    vf=vi+at
    0=22-1.5t
    t=15seconds.

    Your method rounded distance to 160m. If you had not rounded, you would have gotten 15 seconds....

    2.find the time of the first to get to that speed.
    vf=gt solve for t, and the distance fell.
    Now, subtract one from that t, and find out how far the second fell.

    Subtract the distances.

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