: A spaceship is traveling at the speed 2t 2 1 km/s (t is time in seconds). It is pointing directly away from earth and at time t 0 it is 1

Question

: A spaceship is traveling at the speed 2t 2 1 km/s (t is time in seconds). It is pointing directly away from earth and at time t 0 it is 1000 kilometers from earth. How far from earth is it at one minute from time t 0

in progress 0
Latifah 6 months 2021-08-09T15:50:36+00:00 1 Answers 13 views 0

Answers ( )

    0
    2021-08-09T15:52:14+00:00

    Answer:

    145060km

    Explanation: Given that

    speed = dx/dt = 2t^2 +1

    integrate

    x = 2/3t^3 + t + c (c is constant, x is in km, t is in second)

    given that at t=0, x = 1000

    so 1000 = 2/3 X (0)^3 + 0 + c

    or c = 1000

    So x = 2/3t^3 + t + 1000

    for t = 1 min = 60s

    x = 2/3 X 60^3 + 60 + 1000

    x = 2/3×216000+ 1060

    x = 144000+1060

    = 145060km

    At one minute, it will be 145060km far from the earth

Leave an answer

Browse

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