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Math Help - a car

  1. #1
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    a car

    A car passes a point at the speed 10m/s and after accelorates with the constant acceloration 3.0m/s^2, after time t s the car has moved the distance s=10*t+1.6*t^2 (m) with the help of the derivatans defination, what speed the car has after 5's (s'(5))


    no clue here can anyone please give me a hand
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by JBswe View Post
    A car passes a point at the speed 10m/s and after accelorates with the constant acceloration 3.0m/s^2, after time t s the car has moved the distance s=10*t+1.6*t^2 (m) with the help of the derivatans defination, what speed the car has after 5's (s'(5))


    no clue here can anyone please give me a hand
    By the defintion of the derivative:

    s'(t) = \lim_{h \to 0} \frac {s(t + h) - s(t)}h

    you want s'(5)

    can you continue?

    (you could also use the suvat equations for this, but since the question asked for the definition of the derivative, you should do this as above)
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  3. #3
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    ok is this even near the answer 26m/s?
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by JBswe View Post
    ok is this even near the answer 26m/s?
    that's what i got. good job
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