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UCB - MCD4550 - Engineering Numerical Analysis - Trimester 2 - 2025

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The Hogwarts Express travels at m/s, where t is the elapsed time in seconds. Determine the acceleration (in m/s2) it achieves in 3 s.

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Tests reveal that a normal driver takes about 0.75 s before he or she can react to a situation to avoid a collision. It takes about 3 s for a driver having 0.1% alcohol in his system to do the same. If the driver with 0.1% alcohol is travelling on a straight road at 72 km/h (20 m/s) and his car can decelerate at 1 m/s2, determine the shortest stopping distance (d) from the moment he see the pedestrians.

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If a car driving in a large circle of radius 185 m has tangential acceleration of 20 m/s2, and an angular velocity of 0.5 rad/s, what is the magnitude of the total acceleration of the car in m/s2?

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A wheel has an initial clockwise angular velocity of 10 rad/s and a constant angular acceleration of 3 rad/s2. Determine the time and the number of revolutions it must undergo to acquire a clockwise angular velocity of 15 rad/s.

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A fisherman reels in his fishing line onto a spool with a diameter of 0.100 meters. If he rotates the spool 3.5 times, how much fishing line does he reel in, in meters?

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Which of the following expressions gives the average angular velocity?

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Which of the following expressions gives the instantaneous angular acceleration?

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Tests reveal that a normal driver takes about 0.75 s before he or she can react to a situation to avoid a collision. It takes about 3 s for a driver having 0.1% alcohol in his system to do the same. If the driver with 0.1% alcohol is travelling on a straight road at 72 km/h (20 m/s) and his car can decelerate at 1 m/s2, determine the shortest stopping distance (d) from the moment he see the pedestrians.

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The Hogwarts Express travels at m/s, where t is the elapsed time in seconds. Determine the acceleration (in m/s2) it achieves in 3 s.

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A ball is rolling down the road at Wheeler’s Hill. Is the acceleration it experiences, as it rolls down the road, "constant acceleration"?

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