QCEVault

Modelling motion — Question 294

Original QCE Vault practice · 1 mark

Q294 · Practice questionTechnology-freeSimple familiar1 mark

QUESTION 294

A particle moving in the positive x-direction has velocity v(x)=18−2x2v(x)=\sqrt{18-2x^2} m s−1^{-1} while the radicand is positive. Its acceleration at x=2 m is
(A)
−2-2 m s−2^{-2}
(B)
−4/10-4/\sqrt{10} m s−2^{-2}
(C)
−4-4 m s−2^{-2}
(D)
44 m s−2^{-2}
Question linkSyllabus coverage

Related questions

  1. Q222 · Original practice · 6 marks
    A particle has acceleration a=−2xa=-2x m/s squared. At x=0 it moves in the positive direction with speed 4 m/s.
    Modelling motion
  2. Q223 · Original practice · 5 marks
    A robot antenna vibrates with displacement x(t)=3cos⁡2t+4sin⁡2tx(t)=3\cos2t+4\sin2t cm for t nonnegative.
    Modelling motion
  3. Q224 · Original practice · 7 marks
    A falling object has downward velocity satisfying dv/dt=10−2vdv/dt=10-2v, v(0)=0. Its downward displacement starts at zero.
    Modelling motion
  4. Q225 · Original practice · 10 marks
    An object is thrown upwards with v(0)=10 m/s. Upwards is positive. Linear air resistance gives dv/dt=−10−vdv/dt=-10-v throughout flight; h(0)=0.
    Modelling motion