man, 1.81 m tall is walking on a horizontal street at 3.7 kph away from a vertical street light, 3.7 m high. How fast (kph) is the tip of his shadow moving relative to the top of the street light when he is 2 m from the base of the street light? Express your answer in 1 decimal place.
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A man, 1.81 m tall is walking on a horizontal street at 3.7 kph away from a vertical street light, 3.7 m high. How fast (kph) is the tip of his shadow moving relative to the top of the street light when he is 2 m from the base of the street light? Express your answer in 1 decimal place.
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- A Ferris wheel is 26 meters in diameter and completes 1 full revolution in 12 minutes. revolves 1 meter ground 0 A Ferris wheel is 26 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 12 minutes. The function h (t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. Enter the exact answers. a. Find the amplitude, midline, and period of h (t). Amplitude: A = Number Midline: h= Number Period: P = Number diameter meters meters minutes b. Assume that a person has just boarded the Ferris wheel from the platform and that the Ferris wheel starts spinning at time t 0. Find a formula for the height function h (t). = Hints: • What is the value of h (0)? • Is this the maximum value of h (t), the minimum value of h (t), or a value between the two? • The function sin (t) has a value between its maximum and…A spaceship moves radially away from Earth with acceleration 29.4 m/s2 (about 3g). How much time does it take for the sodium streetlamps ( 589 nm) on Earth to be invisible (with a powerful telescope) to the human eye of the astronauts? The range of visible wavelengths is about 400 to 700 nm.The speed of light is c = 3.0 x 10^8 m/s. If the distance between the Earth and the moon is d = 2.39 x 10^5 mi (1.0 mi = 1.61 km). You send a laser from the Earth to the moon and back. How long does this take?
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- Lw21a.pdf bad p111w21a.pdf (113 KB) 7). A particle is moving in three dimensions. Its position vector r is given by r[t] = -4 I + (6 - 7 t) j +(1 – 3 t + 2t²) k where distance components are in meters and time t is in seconds. 7a) What are all 3 components of the velocity vector at t = +5 seconds? 7b) What are all 3 components of the acceleration vector at t = +5 seconds?2 Show that (Jå × b|)´ + (ã · b)´ = a²b².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?
- 1. A student runs to school, covering a distance of 0.50 km in a direction of [N20^0 E] as measured from the starting point. She then trudges over to a friend's house 0.30 km away [W] from the school. The two friends then go off to the mall that is 0.8 km [W50^0S] from the friend's house. *You will need to draw the x and y components of the vectors a. What is the total displacement of the student? b. If the total time taken by the student to run to school then trudge over to the friend's house was 25 minutes, what was her average velocity? *There are many steps to this answer, ensure that you have included ALL steps.Bob has just finished climbing a sheer cliff above a beach, and wants to figure out how high he climbed. All he has to use, however, is a baseball, a stopwatch, and a friend on the beach below with a long measuring tape. Bob is a pitcher and he knows that the fastest he can throw the ball is about vo = 34.5 m/s. Bob starts the stopwatch as he throws the ball (with no way to measure the ball's initial trajectory), and watches carefully. The ball rises and then falls, and after t₁ = 0.510 s the ball is once again level with Bob. Bob cannot see well enough to time when the ball hits the ground. Bob's friend then measures that the ball landed x = 128 m from the base of the cliff. How high up is Bob, if the ball started exactly 2 m above the edge of the cliff? 2 m -- X Bob's position= x10 TOOLS mBob has just finished climbing a sheer cliff above a beach, and wants to figure out how high he climbed. All he has to use, however, is a baseball, a stopwatch, and a friend on the beach below with a long measuring tape. Bob is a pitcher and he knows that the fastest he can throw the ball is about ?0=34.1 m/s. Bob starts the stopwatch as he throws the ball (with no way to measure the ball's initial trajectory), and watches carefully. The ball rises and then falls, and after ?1=0.510 s the ball is once again level with Bob. Bob cannot see well enough to the time when the ball hits the ground. Bob's friend then measures that the ball landed ?=126 m from the base of the cliff. How high up is Bob, if the ball started exactly 2 m above the edge of the cliff?