Two particles A and B are moving in XY-plane Their positions vary with time t according to relation: xA(t) - Physics - Physical World

Question

Two particles A and B are moving in XY-plane Their positions vary
with time t according to relation:
xA(t) = 3t, xâ€‹B(t) =
6
yA(t) = t, yBâ€‹(t) = 2 +
3t2
Distance between two particles at t = 1 is:
(1) 5
(2) 3
â€‹(3) 4
(4)

Decoder_2 · Accepted Answer

Dear student,at t=1xa=3×1=3xb=6ya=1yb=2+3×12=5(xa,ya) and (xb,yb) will be (3,1) and (6,5)distance between these two=(6-3)2+(5-1)2D=5option (1) is correctRegards

Two particles A and B are moving in XY-plane. Their positions vary with time t according to relation: xA(t) = 3t, x​B(t) = 6 yA(t) = t, yB​(t) = 2 + 3t2 Distance between two particles at t = 1 is: (1) 5 (2) 3 ​(3) 4 (4)

Two particles A and B are moving in XY-plane. Their positions vary with time t according to relation:
x_A(t) = 3t, x_B(t) = 6
y_A(t) = t, y_B(t) = 2 + 3t²
Distance between two particles at t = 1 is:
(1) 5
(2) 3
(3) 4
(4)