Assignment No.(1)

# Assignment No.(1) - a = 6t m/s 2 where t is in seconds If...

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1 Assignment No.(1) Rectilinear Motion -1 1. A particle moves along a straight line such that its position is given by : x = 105 + 100t –5t 2 m where t is in seconds , determine : a – the time after which the particle passes through the origin . b – the distance traveled during this time interval . 2. A particle moves along a straight line such that its position is defined by : x = 2t 3 + 3t 2 – 12t –10 m where t is in seconds. Determine, a – the velocity and the acceleration after 3 seconds . b – the distance traveled during the first 2 seconds . 3. Starting from the origin from rest, a particle moving in a straight line has an acceleration a = 2t – 6 m/s 2 where t is in seconds. What is the velocity and the position of the particle after 6 seconds . 4. The acceleration of a particle is given by :

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Unformatted text preview: a = - 6t m/s 2 where t is in seconds. If the particle starts from the origin with an initial velocity of 27 m/s , determine the distance traveled before it stops . 5. The acceleration of a particle is given by : a = - 100/x 2 m/s 2 where x is in meters , the initial position of the particle is : x o = 8 m and the particle velocity vanishes at an infinite distance from the origin . Determine : a – the initial velocity of the motion. b – the position and the velocity of the particle after 4 seconds. 2 6. The initial conditions of the rectilinear motion of a particle are : x o = 3 m and v o = 0 . If the particle `s acceleration is given by : a = - 9 / x 3 m/s 2 , find the velocity and the time when x = 1 m....
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Assignment No.(1) - a = 6t m/s 2 where t is in seconds If...

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