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Recent questions tagged telegram-62469

(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)

asked Apr 16, 2021 by 922971828

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