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[-/1 Points] DETAILS SCALCET9 3.9.022.MI. A boat is pulled into a dock by a rope attached to the bow of the boat and passing through
[-/1 Points] DETAILS SCALCET9 3.9.022.MI. A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast (in m/s) is the boat approaching the dock when it is 5 m from the dock? (Round your answer to two decimal places.) m/'s Need Help? Rand it Watch It Master ItA particle moves with position function s= - ar - 80 + 151, 12 0 (a) At what time does the particle have a velocity of 15 mys? (Enter your answers as a comma-separated list.) X (b) At what time is the acceleration 0? (Round your answer to two decimal places.) t= X What is the significance of this? At this time, the acceleration changes from positive to negative and the velocity attains its maximum value. O At this time, the acceleration changes from negative to positive and the velocity attains its maximum value. At this time, the acceleration changes from positive to negative and the velocity attains a value of zero. O At this time, the acceleration changes from positive to negative and the velocity attains its minimum value. O At this time, the acceleration changes from negative to positive and the velocity attains its minimum value. XThe height (in meters) of a projectile shot vertically upward from a point 4 m above ground level with an initial velocity of 23.5 m/s is h = 4 + 23.5t - 4.91" after t seconds. (a) Find the velocity (in m/s) after 2 seconds and after 4 seconds. v(2) = 39 m/s (4) = -15.7 m/s (b) When does the projectile reach its maximum height? (Round your answer to two decimal places.) X s (c) What is the maximum height? (Round your answer to two decimal places.) m Enter a number (d) When does it hit the ground? (Round your answer to two decimal places.) (e) With what velocity (in m/s) does it hit the ground? (Round your answer to two decimal places.) m/s
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