A car has uniformly accelerated from rest to a speed of 25m/s after traveling 75m. What is its acceleration in m/s^2

Question

A car has uniformly accelerated from rest to a speed of 25m/s after traveling 75m. What is its acceleration in m/s^2

in progress 0
RuslanHeatt 4 years 2021-07-13T13:09:38+00:00 1 Answers 335 views 0

Answers ( )

  1. mocmien2
    0
    2021-07-13T13:11:18+00:00
    Reply

    So there is two truths given. After an amount of time Ttotal (lets call it ‘t’):


    The car’s speed is 25m/s

    The distance travelled is 75m

    Then we have the formulas for speed and distance:


    v = a x t -> 25 = a x t

    s = 0.5 x a x t^2 -> 75 = 0.5 x a x t^2

    Now, we know that both acceleration and time equal for both truths. So we can say:


    t = 25 / a

    t^2 = 75 / (0.5 x a) = 150 / a

    Since we don’t want to use square root at 2) we go squared for 1):


    t^2 = (25 / a) ^2 = 625 / a^2

    t^2 = 150 / a

    Since t has the same value for both truths we can say:


    625 / a^2 = 150 / a


    Thus multiply both sides with a^2:


    625 = 150 x a, so a = 625 / 150 = 4.17


    We can now calculate t as well t = 25 * 150 / 625 = 6

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )