Please show steps in Physics terms for A - G! Kinematics in One Dimension P2.70,
ID: 1877618 • Letter: P
Question
Please show steps in Physics terms for A - G!
Kinematics in One Dimension P2.70, Page 37: Two particles move along an x axis. The position of particle 1 is given by 160+ 3.00+200 (in meters and seconds); the acceleration of particle 2 is given by 28.00t (in meters per second squared and seconds) and, at t 0, its velocity is 20 m/s. da 12.0t +3.00 1) Obtain the formula for the velocity of particle 1. 2) Obtain the formula for the velocity of particle 2. V 20-4.00 t12 3) Find when the velocities of the particles match. 1.05 s 4) When the velocities of the particles match, what is their velocity? 15.59 m/s | Let's set the position of particle 2 to be ro at0. (13 points) a) Obtain the formula for the position of particle, a2(t), as a function of time, t. Whent-0, two particles are getting closer, but after that (t > 0), they wl not meet. Find which particle is ahead on the axis for t0 Find when these two particles are closest to each other for t > 0. d) The closest distance two particles get is 31. cm. Find the locations of particle2 whent 0 m, ro e) Find the locations of both particles when they are at the closest distance f The closest distance two particles get is 31. em. Find the locations of both particles when they are at the closest g) Find the velocities of two particles when they are the closest distanceExplanation / Answer
a)
for particle 2 , velocity is given as
V = 20 - 4 t2
Position is given as
dX/dt = V = 20 - 4 t2
dX = (20 - 4 t2 ) dt
integrating both side relative to "t"
X2(t) - Xo = 20 t - 4 t3/3
X2(t) = Xo + 20 t - 4 (t3/3)