Q)
(chatquestion)...(1) The position vector r of a missile at any time t is given by
r = tį + (8t – t2)i
where į and j are unit vectors in the horizontal and upward vertical direc-
tion. Find its
(a) average velocity from t 2 to t = 3,
(b) velocity, speed and direction of motion when t = 4,
(c) position vector when it is moving parallel to the vector į – 2j,
(d) acceleration vector.
(2) A particle is moving in the i-j plane with an acceleration of (1- t)į + tj
where t is the time. The particle is projected from the origin with an initial
velocity of 3/2ims-1. Find the displacement of the particle at time t and
the value of t when it is moving in the direction of motion.
What is the angle between its velocity and displacement at this time?
(3) The position vector r of a particle at time t is
r = 2t?i+ (t - 4t)j + (3t – 5)k.
Find the velocity and the acceleration of the particle at time t. Show
that when t = 2/5 the velocity an the acceleration are perpendicular to
each other. The velocity and the acceleration are resolved into components
along and perpendicular to the vector į – 3j + 2k. Find the velocity and
acceleration components parallel to this vector when t = 2/5.
%3D...(Need help on Q1)
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