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What is the magnitude of the horizontal displacement of a body moving at (5i + 3j) m/s after 5 seconds.
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- You are driving home from school steadily at 97 km/hkm/h for 160 kmkm. It then begins to rain and you slow to 61 km/hkm/h instantly. You arrive home after driving 4.5 hours. How far is your hometown from school? answer using two significant figures.A student witnesses a flash of lightning and then t = 1.5 s later the student hears the associated clap of thunder.Sound travels at 343 m/s in the air. What distance from the student is the lightning strike, in meters? Light travels at 3.0 × 108 m/s in the air. How long, t1, in seconds did it take the light to reach the student's eyes after the lightning strike?Figure 1 shows the velocity-time graph of a person moving along one straight path called the x-axis. When a timer starts to click (t = 0), the person is at x = 0. The whole journey lasts 20 seconds. v (m/s) 2 0 -2 0 4 8 2 12 16 t(s) 20 Figure 1: The velocity-time graph to go with Q1.6 Consider the first half of the journey from t = 0 to t = 10 seconds. Find the position of the person at t = 10 s and the average velocity between t= 0 and 10 seconds. (b) Identify the time windows during which the person has an non-zero acceleration and find the accelerations in those time windows. (c) For the whole journey from t = 0 to t = 20 s, find the position of the person at t = 20 s and the average velocity.
- A race car travels northward on a straight, level track at a constant speed travels 0.751 km in 22.0 s. The return trip over the same track is made in 27.0 s. (a) What is the average velocity of the car in m/s for the first leg of the run? 34.136 m/s (b) What is the average velocity for the total trip? 7.136 X m/sA space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 - 2.1t , where x and y are in meters and t is in seconds. What is the distance of the space shuttle to the base 1 minute after it has been launched ?The acceleration of a particle is a constant. At t=0 the velocity of the particle is (14.91 + 18.4ĵ) m/s. At t = 4.6 s the velocity is 11.4j m/s. (Use the following as necessary: t. Do not include units in your answers.) (a) What is the particle's acceleration (in m/s²)? = î+ 18.4 v(t) = (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin. r(t) = î+ X Î- i) m/s m/s
- You are driving home from school steadily at 97 km/hkm/h for 160 kmkm . It then begins to rain and you slow to 61 km/hkm/h instantly. You arrive home after driving 4.5 hours. How far is your hometown from school? answer using two significant figures. What was your average speed? answer using two significant figures.An adventure racer ran 1.7 km north, then 3.2 km 63° to the south of due east, then 1.4 km west. She completed the trip in 2 hr: 5 min :8 s. What was the magnitude of her average velocity over the entire trip in m/s? Express your answer in metres/second to two decimal places (do not include units in your answer).the earth is approximately 1.5x10^8 km from the sun. how many minutes does it take light to travel from the sun to the earth? light travels at a speed of 3.00 x10^10 m/s
- A space probe on the surface of Mars sends a radio signal back to the Earth, a distance of 7.27 ✕ 107 km. Radio waves travel at the speed of light (3.00 ✕ 108 m/s). How many seconds does it take for the signal to reach the Earth?you walk 1dkm north in 15 hours and then 18 km west for 2 hours what is the magnitude of your average velocityThe following conversion equivalents are given: 1 mile = 5280 ft 1 ft=12 in 1 m = 39.37 in 1 hour = 60 min 1 min = 60 s A particle has a velocity of 4.7 miles per hour. The velocity, in m/s, is closest to: 1.5 2.3 2.1 1.9