A particle's position is described by the function x(t) = 4t3 - 0t, where t is in seconds and x(t) is in inches. Illustrate/ determine the following at a time interval of 10 seconds: Position vs Time Graph Velocity vs Time Graph Acceleration vs Time Graph

Q: what would the motion look like for a person starting some distance away from the origin and walking…

A: Given : Initial position = 0.4 unit , to the right Speed = constant, to the right

Q: Pablo and Jacob are running a half marathon. Jacob is d = 55 m behind Pablo and both are running at…

A: Given information: Thew distance between Jacob and Pablo (d) = 55 m The speed at which they are…

Q: Velocity 0 m/s Show Vector 12.0 6.0 0.0 -6.0 -12.0 0 (0,0) (3,6) (4,6) 3 (5.5, 0) 5 6 (7,-6) (8.5,…

A: Above graph can be divided asNow, area of triangle will be 1/2 ×base× heightAnd area of rectangle=…

Q: how to solve

A: We are given velocity time graph. There are 2 straight lines in this graph. The displacement is area…

Q: x (m) 2- 1 A K 2 4 6 8 -1 -2- B C D 10 12 14 16 E 18 -t (s)

A: formula of velocity

Q: at what time or times is the particle found at x = 35m. please explain a) t1 = 6s and t2  = 8s b)…

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Q: The position of a particle is given by the equation ?(?) = t3 − 6t2 + 9t, where t is in seconds and…

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Q: What are the three lowest frequencies for standing waves on a wire that is 10 m long, has a mass of…

A: Given: Length of the wire (l) = 10 m. Mass of wire (m) = 0.1 kg Tension in wire (T) = 250 N.

Q: Vx (m/s) 4 2 t (s) 4 2 3 he figure above shows a graph of the velocity-vs.-time graph for a particle…

A: Following points to be drawn. We know that

Q: following graph represent the position vs time for a cat walking up and down a street looking for…

A: Given:- The following graph represents the position vs time for a cat walking up and down a street…

Q: a particle moves according to the equation x=10^2,where x is in meters and t is in seconds. a) find…

A: X = 10² dx/dt = 0 Velocity will be zero at every interval

Q: PLEASE ANSWER ONLY LETTER E The position of a particle is given by the equation s(t) = t3 − 6t2 +…

A: The position of a particle is given by the equation s(t) = t3 − 6t2 + 9t, where time  is in seconds…

Q: True or False: The instantaneous value of a velocity vs. time graph is the slope of the…

A: True, yes we can calculate and plot the graph through velocity vs time graph to position vs time…

Q: Given a particles position along the x-axis is described by the function, x(t) = A t +_ B t2, where…

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Q: Problem 10: The velocity vs. time graph of the motion of an object is shown in the figure. Velocity…

A: We know  Acceleration (a) = dv/dt            that is the slope of velocity vs time graph . In given…

Q: nction of time. Various 6- 4. 2- 4. -2. 12 16 20 -6- 8.

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: GIVEN: X (-4+3t)e-0.3t SOLUTION: v: ds dt Sds Svdt vad • [(-4+ 3t)e-0.3] dt V=(e-03) (3) + (-4+3+)…

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Q: The figure below shows the velocity-time graph (in red) of a particle that moves along the x-axis. 7…

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Q: The figure shows a distance vs. time graph of an object with three distinct regions, I, II, and III.…

A: Introduction: The velocity of the rate change of the displacement with respect to time, it is a…

Q: A mountain lion is napping in the shade as a deer saunters by at steady 48.2 km/h. Feeling the…

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Q: Draw motion diagrams (S-t,v-t,a-t) for: (Numeric values on axis are not required) a) an object…

A: Since we only answer up to 3 sub-parts, we'll answer the first 3, please resubmit the question ad…

Q: ES-SS 18. The velocity and acceleration tables for a particle are shown on the right. Over what time…

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Q: A particle's position is given by x = 8t + t2- 16 (meters). What is its velocity when its position…

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Q: Position slope = v Time (a) Velocity Time (b) Acceleration Time (c) Fig. 2-15. Graphs for uniform…

A: To explain Uniform motion through the graph given in the question

Q: Velocity (m/s [S]) 30 20 10 0 -10 -20 -30 5 Velocity vs. Time 10 15 20 Time (s) 25 30 35

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Q: A graph of the velocity as a function of time for a particle moving along the x-axis is seen below.…

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Q: catches up with him. a) Calculate the time they meet how far. b) Solve it graphically, that is,…

A: The driver is moving with a constant velocity of 15m/s and the policeman is initially at rest. So we…

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Q: A commuter typically travels on a freeway between Baguio and La Union at an average speed of…

A: this is simple question about find the time for distance and velocity we can find with v=d/t.

Q: Can I get some help with part (c) and part (d) in justifying whether or not a line fits the data on…

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Q: A particle has an acceleration at t=0 of 3m/s2 which was maintained for a duration of 5 seconds. The…

A: Given, acceleration a =3 m/s2  for 5 seconds and for another 6 seconds it increase to 9 m/s2

Q: Starting from rest, a car accelerates at a constant rate of 3.0 m/s2 for a time of 5 seconds.…

A: Given:acceleration of the car a = 3 m/s2initial velocity of the car, u = 0 m/sSolution:1. From the…

Q: Examine the following position time graph:

A: Given, Graph of position versus time. Position is not changing with time.  Velocity is rate of…

Q: A body moving in a straight line. The following equation determines its position 3 - x = 2 + t (t),…

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Q: If an object was moving along a line (+ position axis) has the acceleration-time graph above. How…

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Q: You start timing the ball falling at the maximum height. After 0.50 s the ball has fallen exactly…

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Q: The velocity of a particle as a function of time is given by the graph below: velocity vs time 20 15…

A: We are given a Velocity-time graph. We need to calculate the approx displacement of the particle…

Q: The two lines on the position time graph describes the motion of two different objects. How much…

A: Given:- The two lines on the position-time graph describe the motion of two different objects.…

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –