Particles P and Q are in motion Particle P is moving with a veloctiy of 10root3 km/hr towards west, - Physics - Kinematics

Question

Particles P and Q are in motion Particle P is moving with a
veloctiy of 10root3 km/hr towards west, and particle Q is moving
with a velocity of 10 km /hr towards north If the initial distance
between the two particles is 20 km, then calcate the shortest
distance between the particles ??

Sadia Rafeeque · Accepted Answer

Dear Student,

Given,
Velocity of the P is 103 km/h
â€‹Velocity of Q is 10 km/h

Let t be the time passed
distance covered by P = 103t and distance covered by Q =
10t
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_574e0383e5e83%20png">

Distance
(S) between the ships
is given by

s=20-10t2+103t2     
(i)For s to be minimum, dsdt=0⇒dsdt=1220-10t2+103t21/2220-10t(-10)+2103t103=0⇒-2020-10t+600t=0⇒t=12 h
Putting this value in equation (i), we get
smin=20-1022+10322   ⇒smin=129 90 km
Regards,

Particles P and Q are in motion. Particle P is moving with a veloctiy of 10root3 km/hr towards west, and particle Q is moving with a velocity of 10 km /hr towards north. If the initial distance between the two particles is 20 km, then calcate the shortest distance between the particles.??