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9 June, 11:59

The function d (t) = 15t^2-100t gives the distance a car going a certain speed will skid in t seconds. find the time it would take for the car to skid 170 feet

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  1. 9 June, 12:17
    0
    Equate 170 feet to d (t) = 15t^2 - 100t. Rearrange these 3 terms in descending order according to the powers of t. Then solve for t. Use the quadratic formula or some other suitable approach.
  2. 9 June, 12:20
    0
    15t^2 - 100t = 170

    15t^2 - 100t - 170 = 0

    3t^2 - 20t - 34 = 0

    solve for t

    t = [ - (-20) + / - sqrt (400 - 4*3 * (-34) ] / 6

    = 8.07 seconds
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