2. At time t=0 s, an object is observed at x = 0 m; and its position along the x axis follows this expression: x = -3t +t³, where the units for distance and time are meters and seconds, respectively. What is the object's displacement AX between t = 1.0 s and t = 3.0 s? (A) +2.0 m (B) +20 m (C)+22 m (D) +18 m
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- I took 2.28km and converted it to 2280 meters then divided by 3200 and ended up with .71m/s but it keeps saying that its incorrect. Im not sure where I keep messing up. John walks 1.80 kmkm north, then turns right and walks 1.40 kmkm east. His speed is 1.60 m/sm/sduring the entire stroll. What is the magnitude of his displacement, from beginning to end? (2.28) If Jane starts at the same time and place as John, but walks in a straight line to the endpoint of John's stroll, at what speed should she walk if she wants to arrive at the endpoint just when John does?My question isn't how to solve the problem exactly. In fact, it's already been solved on this website. My question is about the acceleration. When I solve this problem myself, first I calculate the velocity by dividing 100m by 53s. I get 1.89m/s. Then I use that to find the acceleration using the equation vf = vi + at. That's 1.89/53 = 0.036m/s^2. That's not correct. The correct way to find the acceleration is to us the equation d = 1/2 at^2 and solve that way without taking the intermediate step of finding the velocity. Doing it that way, the acceleration is 0.0712m/s^2. My question is why you get a different result doing it the first way than you get doing it the second way.A runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km] race? Express your answer in seconds. Ignore the time it takes to reach this speed, and assume the runner is always at this speed.
- A pumpkin is shot straight up with an initial speed of 5.9 m/s. What is the maximum height it can reach, in meters? Use g = 10 m/s2.Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.The displacement of a particle is given by s = 2t3 - 32t2 + 89t - 32 where s is in feet and tis in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 13 seconds of motion. After you have made the plots, answer the questions. Questions: Att= 2.9 sec, ft, v= i ft/sec, a = i ft/sec2 At t = 6.3 sec, i ft. v= ft/sec, a = i ft/sec? At t = 11.6 i ft. v= ft/sec, a = i ft/sec2 sec, The velocity is zero when t = i sec and whent= i secAn 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).
- A rabbit runs across a parking lot. The path is such that components of rabbit's position with respect to an origin of co-ordinates as function of time are x = t2+ 10 and y = -9t+ 5. Here x, y are in meter and tin second. The magnitude of rabbit's displacement during first 5 seconds isA 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?The velocity of an object is given by, = u + at V ds dt. where, u is the initial velocity, a is the acceleration, and ₺ is the time in seconds. Solve the differential equation to obtain the displacement, s, given that at t = 0, s = 7 (metres) : 1 if u = 3 ms ¹, a = 2.4 ms 2, calculate the displacements at t = 4.9 seconds. Give your answer to 2 decimal places.
- The displacement of a particle is given by s = 3t3 - 42t2 + 109t - 39 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 11 seconds of motion. After you have made the plots, answer the questions. Questions: Att = 2.4 ft. v= ft/sec. a = ft/sec? sec, Att= 5.4 i ft, v= i ft/sec, a = i ft/sec? S= sec, Att = 8.5 ft. v= i ft/sec, a = i ft/sec? sec, The velocity is zero when t = i sec and when t = i secNerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally steps barefoot on a pebble. About how much time does it take the nerve impulse to travel from the foot to the brain (in s)? Assume the person is 2.00 m tall and the nerve impulse travels at uniform speed. s ?The displacement of a particle is given by s = 3t3 - 53t2 + 115t - 62 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 14 seconds of motion. After you have made the plots, answer the questions.Questions: At t = 3 sec, s = ft, v = ft/sec, a = ft/sec2 At t = 7.7 sec, s = ft, v = ft/sec, a = ft/sec2 At t = 11.5 sec, s = ft, v = ft/sec, a = ft/sec2 The velocity is zero when t = sec and when t = sec