The position of a particle along a straight line is given by s = (1.5t³ – 13.5t2 + 22.5t), where t is in n seconds. Determine the displacement and the total distance it travels during the 7-s time interval.

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1. The position of a particle along a straight line is given by s = (1.5t³ – 13.5t2 + 22.5t), where t is in
seconds. Determine the displacement and the total distance it travels during the 7-s time interval.
2. A ball is thrown with an upward velocity of 6.5 m/s from the top of a 12-m high building. One second
later another ball is thrown vertically from the ground with a velocity of 12 m/s. Determine the height
from the ground where the two balls pass each other.
3. A ball is fired downwards into a medium with an initial speed of 26 m/s. If it experiences a
deceleration of a = (-5.3t)m/s² where t is in seconds, determine the distance traveled before it
stops.
Transcribed Image Text:1. The position of a particle along a straight line is given by s = (1.5t³ – 13.5t2 + 22.5t), where t is in seconds. Determine the displacement and the total distance it travels during the 7-s time interval. 2. A ball is thrown with an upward velocity of 6.5 m/s from the top of a 12-m high building. One second later another ball is thrown vertically from the ground with a velocity of 12 m/s. Determine the height from the ground where the two balls pass each other. 3. A ball is fired downwards into a medium with an initial speed of 26 m/s. If it experiences a deceleration of a = (-5.3t)m/s² where t is in seconds, determine the distance traveled before it stops.
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