37. Particle Motion The position (x-coordinate) of a particle movingon the line y = 2 is given by x(1) = 2r³ – 1312 + 221 – 5 where tis time in seconds.(a) Describe the motion of the particle for t20. S(b) When does the particle speed up? slow down?(e) When does the particle change direction?(d) When is the Pai ucle at rest?(e) Describe the velocity and speed of the particle(f) When is the particle at the point (5, 2)?

Position of particle: xt=2t3-13t2+22t-5 (a) Differentiate above equation we get,…

Answered: 37. Particle Motion The position…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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"O. LTE A 12:24 [Template] Copy.. First Six Weeks Physics Review Position = where an object is at any given point of time (can be positive or negative) Distance = total ground covered during an object's motion Speed = distance/time; standard unit is m/s Displacement is the change in nosition fromA to R. Displacement = change in position of an object; how far out okplace an object is with direction Velocity = displacement/time; standard unit is m/s; has direction Distance is the thtatamount position (m) 80 60 40 20 - 20 -40 10 20 30 40 50 (sec) We can tell an objects What is the object's displacement from 10 to 15 seconds? by studying the slope of a position v. time graph. What is the object's displacement from 15 s to 40 s? What is the object's velocity from 15 s to 40 s? Is it positive or negative? At what point is the object's speed the fastest? Acceleration is the rate of change of velocity. It occurs when an object speeds up, slows down, or changes direction. Has direction. a = (Vf…
3. The motion of a particle is given by the equations = 2t* -+2t. Solve for the values of velocity (v) and acceleration(a) when t= 2sec. Express velocity in ft/s and acceleration in ft/s². %3D
For an object moving in a horizontal straight line: its displacement function is given by s(t)= 3t3 - 6t2+ 14 at anytime t Att 1 second we can say that the object is O A. moving with uniform speed O B. changing direction O C. slowing down O D. speeding up
1. A scientist suggested that sending people to Mars using a 250-m long cannon would fire people in a space capsule using a speed of 11.10 km/s. What is the acceleration? Comparing to gravitational acceleration, what can you imply with the data? 2. A particle in a constant acceleration has a velocity of 11.20 cm/s in the positive x direction when its x-coordinate is 4.00 cm. If its x-coordinate 3.00s later is -8.00 cm, what is its acceleration (in m/s2)? 3. A boat with a velocity of 27 m/s approaches a marker 98 m ahead. Because of this, the pilot decelerates the boat with a constant acceleration of -2.80 m/s2. (a) How long does it take the boat to reach the marker? Choose the smaller value for time for a quadratic equation. (b) What is the velocity of the boat when it reaches the marker?
3. The graph below shows the displacement vs time of a student leaving the NSCI 110 after physics class walking towards the cafeteria for lunch (assume a 1-D motion) At some point between NSCI 110 and the cafeteria, the student realizes they have left their cell phone in the classroom, so they turn back to get it. Displacement vs Time 120 100 nol Velocity vs Time 80 1.5 60 40 30 60 90 120 150 180 210 20 -1.5 30 60 90 120 150 180 210 Time (s) a. How far did the student walk before realizing that they left their cell phone in the classroom? How long did this take? (2 marks) b. With what velocity did the student walk back to the classroom? (2 marks) c. Fill out the velocity vs time graph above. (2 marks) Distance (m)
An airplane accelerates at 3 m/s2 along a runway until it finally lifts off after 33 seconds. a) How far did the plane travel before taking off? b) How fast was the plane moving at the moment it took off?
Given that: 1. The deceleration of the train = 0.145 ms2 2. The train will further travel a distance of 26.65m before coming to rest. 3. Time taken by the train to come to rest from a speed of 20 km/hr = 38.34sec Sketch the velocity versus time graph for the motion of the train.
3. ( (ve = 10 m/s) velocity-time of a particle making one dimensional motion is shown with A ) Determine the net distance the object V's travelled В. Determine the net displacement the object travelled С. Draw the position-time graph Describe the situation with an D. example (use bicycle/car/ball as an object to describe the situation) 0. 4. 8. 12 16 t (s) (s/w) A
4. A jogger warms up by running 350 meters east at an average speed of 3.8 m/s, then running west 240 meters at an average speed of 4.2 m/s. a. How much time does the first part of the trip take? b. How much time does the second part of the trip take? c. How long does the entire trip take? d. What is the total distance for the entire trip? e. What is the magnitude of the jogger's displacement for the entire trip? f. What is the average speed for the entire trip? g. What is the magnitude of the jogger's average velocity for the entire trip?
Phys2425 3. If you throw one object upward with an initial speed of 4m/s at 1.5m above the ground, find a) the total time of flight for this free fall motion, b) the final velocity just before touching the ground, and c) the maximum height with respect to the ground. 28

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