Roque is flying a kite along the dolomite sand of Manila Bay. If the string is 45 meters, determine the rate at which the angle of elevation is changing if the horizontal distance from him to the point directly below the kite is 13 m. Assume that he is running at a rate of 1.2 m/s; the kite is not swaying as it flies upward; and he started from rest when the kite is directly along his field of vision. A. 0.0923 rad/s B. 0.0279 rad/s C. 0.0222 rad/s D. None of these.

1.An archer aims at a target. (a) Should she aim the arrow directly at the target? Why or why not? Draw a simple diagram to support your explanation. (b) How should her angle of aim change depending on the distance to the target? (c) Suppose the archer’s arrow is 1.2m above the ground, the bull’s eye is 43m away and at a height of 1.8m, and she can shoot the arrow at an initial speed of 2.8m/s. It is a calm day with no wind so we ignore air resistance. At what angle should she aim her arrow to hit the bull’s eye?

A camera operator is filming a nature explorer in the Rocky Mountains. The explorer needs to swim across a river to his campsite. By watching debris flowing down the river, the operator estimates that the stream is flowing at 0.633 m/s. In still water, the explorer can swim at 0.759 m/s. At what angle, less than 90°, with respect to the shoreline should the operator advise him to swim so that he travels directly across the stream to his campfire? angle: 33.389 The water is near freezing in temperature. Typically a human can only swim in such water for about 300 s (or 5 min) before hypothermia sets in. Calculate the time the explorer spends in the water if the river is 28.3 m wide. time in the water: 81.03 S Incorrect Based on the results, what should the camera operator's decision be about the explorer's swim? Approved. He will get cold but he should be able to make it across. Sorry, but the swim must be cancelled. He will never make it across in time.

A newly constructed spaceship has a length of 100.0 m (as measured in the rest frame). This spaceship departs the Earth, bound for a distant planet located a distance D = 50.0 light-years away from the Earth. It travels at a constant speed of v = 0.900c.   Part A) As measured by Mission Control on Earth, how long does the journey take? Enter the numerical value in units of years. Part B) According to an astronaut on the spaceship, how long does the journey take? Enter the numerical value in units of years. Part C) As measured by Mission Control on Earth, what is the spaceship's apparent length? Enter the numerical value in SI units

For an independent study project, you design an experiment to measure the speed of light. You propose to bounce laser light off a mirror that is 54.5 km due east and have it detected by a light sensor that is 115 m due south of the laser. The first problem is to orient the mirror so that the laser light reflects off the mirror and into the light sensor. (a) Determine the angle that the normal to the mirror should make with respect to due west. °(b) Since you can read your protractor only so accurately, the mirror is slightly misaligned and the actual angle between the normal to the mirror and due west exceeds the desired amount by 0.003°. Determine how far south you need to move the light sensor in order to detect the reflected laser light.  m