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

It’s a sunny Saturday afternoon and you are walking around the lake by your house, enjoying the last few days of summer. The sidewalk surrounding the perimeter of the circular lake is crowded with walkers and runners. You then notice a runner approaching you wearing a T-shirt with writing on it. You read the first two lines, but are unable to read the third line before he passes. You wonder, ”Hmmm, if he continues around the lake, I bet I’ll see him again but I should anticipate the time when we’ll pass again.” You look at your watch and it is 5:07pm. You estimate your walking speed at 3 m/s and the runner’s speed to be about 14 m/s. You also estimate that the diameter of the lake is about 2 miles. At what time should you expect to read the last line of the t-shirt?

In aviation, it is helpful for pilots to know the cloud ceiling, which is the distance between the ground and lowest cloud. The simplest way to measure this is by using a spotlight to shine a beam of light up at the clouds and measuring the angle between the ground and where the beam hits the clouds. If the spotlight on the ground is 0.75 km from the hangar door as shown in the image below, what is the cloud ceiling? 20° 0.75 km

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.

Which of the following unit equations is correct? Select one: O a. N-C = V/m O b. N/m V/C %3D O c. N/V = m/C O d. N-m V-C O e. N-V = N-m