Question

Two bicyclists in a sprint race begin from rest and accelerate away from the origin of an xy coordinate system. Miguel's acceleration is given by
(−0.800i + 1.20j) m/s2,
and Lance's acceleration is given by
(1.40i + 0.400j) m/s2.
(a) What is Miguel's acceleration with respect to Lance? (Express your answer in vector form.)
(aM)L
=
m/s2

(b) What is Miguel's speed with respect to Lance after 3.00 s have elapsed?

m/s

(c) What is the distance separating Miguel and Lance after 3.00 s have elapsed?

m

Answer 1

(a)
subtract M - L
-2.2 i + 0.8 j

(b)relative velocity = -2.2 t i +0.8 t j
if t = 3
v = -6.6 i + 2.4 j
speed = sqrt(6.6*2+2.4^2)

(c) relative position
= -2.2/2 t^2 i + 0.8/2 t^2 j
= -1.1 t^2 i + 0.4 t^2 j
put in 3 for t again and do the square root thing again