A river has a steady speed of 0.230 m/s. A student swims upstream a distance of 1.00 km and swims back to the starting point. (a) If the student can swim at a speed of 1.10 m/s in still water, how long does the trip take? S (b) How much time is required in still water for the same length swim? S (c) Intuitively, why does the swim take longer when there is a current?Suppose a boat moves at 11.0 m/s relative to the water. If the boat is in a river with the current directed east at 1.90 m/s, what is the boat's speed relative to the ground when it is heading east, with the current, and west, against the current? (Enter your answers in m/s.) HINT (a) east with the current m/s (b) west against the current |m/sA car is parked on a cliff overlooking the ocean on an incline that makes an angle of 25.0" below the horizontal. The negligent driver leaves the car in neutral, and the emergency brakes are defective. The car rolls from rest down the incline with a constant acceleration of 3.97 m/s2 for a distance of 70.0 m to the edge of the cliff, which Is 40.0 m above the ocean. (a) Find the car's position relative to the base of the cliff when the car lands in the ocean. l: m (In) Find the length of time the car is in the alr. :5 A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of V0 = 13.0 m/s. The cliff is h = 44.0 m above a flat, horizontal beach as shown in the figure. _'\\' (b) What are the components of the initial velocity? VDX = "1/5 =:] m (c) Write the equations for the X and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) x: _ (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessaw: I. Let the variable t be measured in seconds. Do not state units in your answer.) X= y= (e) How long after being released does the stone strike the beach below the cliff? :l S (f) With what speed and angle of impact does the stone land? :1 m/s 6 = :] below the horizontal