At t = 0, a particle moving along an x axis is at position x0 = -20 m. The signs

Question

At t = 0, a particle moving along an x axis is at position x0 = -20 m. The signs of the particle’s initial velocity v0 (at time t0) and constant acceleration a are, respectively, for four situations: (1) +, +; (2) +, –; (3) –, +; (4) –, –. (a) In which situations will the particle stop momentarily? (Several choices may be correct.) (b) In which situations will the particle pass necessarily through the origin? (Several choices may be correct.) (c) In which situations will the particle never pass through the origin? (Several choices may be correct.)

Explanation / Answer

a)

2 and 3 are correct situations in which the particle stop momentarily

see here a and v are in opposite direction so there is a point where v will become zero and v will be in direction of a

b)

1 is correct because in this case a nd v are positive so the particle always moves towards +ve xasis so momentarily crossing origin

c)

4 is correct as v and a are negative so the particle always move towards negativee xaxis direction never to cross the origin

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