A pebble is dropped into a deep well and is heard to hit the ground 3.75 seconds after being dropped. Determine the depth of the well. A construction worker accidentally drops a brick from a high scaffold. What is the velocity of the brick after 3.5 s? How high is the scaffold from the ground?          The EKstreme Tower at Enchanted Kingdom amusement park is 175-feet tall. How long does it take for the ride to reach the ground? ( Conversion: 1m = 3.28ft) A train is operating at an average speed of 115.5 km/h for 3 hours, then at an average speed of 108.0 km/h for the next 2 hours, and lastly it had an average speed of 112.5 km/h on its last 1 hour trip. What was the average speed for the 6 hour trip?

Q: The graph shows vx vs. t for an object moving along the x-axis. Vx (m/s) 40 20 2 4 6 8 10 12 14 t(s)

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Q: Q9: A particle is in motion and is accelerating. The functional form of the velocity v(t)=20t-5t² a.…

A:

Q: t time t in seconds, a particle's distance s(t), in micrometers (μm), from a point is given by s(t)…

A: Givenst=et-1   and t=2 s

Q: This position time graph describes an object's motion. Use it to determine the displacement (in m)…

A: Given  Initial position ( Xi ) = 10 m After 6 sec : Final position (Xf ) = 4m   Displacement :…

Q: 1. Suppose a particle is moving at a varying velocity along a straight line and that s = f(t)…

A: f(t)=at+b with a,b>0 then, v(t)=df(t)dt=a   Therefore, the average velocity of the particle…

Q: The acceleration of a particle is given by a(t) = kt3/2, where k is a constant. Find the position…

A: The acceleration of the particle is given by,  atdt=kt32  -----1 Here, k is a constant.   Integrate…

Q: Assume t is time measured in seconds and velocities have units of m/s. a. Graph the velocity…

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Q: An object starts in one dimensional motion with an initial velocity of 12 m/s and acceleration of 5…

A: The equations of kinematics in one dimension are v=v0+atx=v0t+12at2v2=v02+2ax Where, x is the…

Q: 's velocity. Th

A: The task is to sketch a rough graph of the velocity of a conveyor belt based on the given…

Q: A particle moves in a straight line along the x-axis. Its displacement is given by the formulas(t) =…

A: Given Data: Expression for displacement s(t)=t2-4t2+7t m

Q: Vx (m/s) 3 2 1 t (s) 12 2 4 6. 8. 10 -1 -2 -3+ to

A: Taking position on vertical axis and time at horizontal axis graph is drawn .

Q: 1.Write out the equation for your line of best fit. Hint: Make sure you have: Variables that match…

A: Position versus time2 graph is given, in which position is plotted along y axis ans time2 is plotted…

Q: A rock is dropped from rest into a well. "he sound of the splash is heard 4 s after the rock is r…

A: Distance = speed ×time

Q: The figure shows the velocity function for motion along a line. Assume the motion begins with an…

A: We have to find the piecewise function for s(t)

Q: You place your ear onto a steel railroad track and hear the sound of a distant train through the…

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Q: A particle moving along the x-axis has its velocity described by the function vz = 2t² m/s, where t…

A: Given:-  Vx=2t2 position x0 =2.4 at t0=0 s find:- position of particle's at t= 2.2 s

Q: A stone is dropped (from rest) into a deep well. The splash in the water below is heard 4.2 seconds…

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Q: Also C. At 2.5 ss , what is the particle's acceleration? Express your answer with the appropriate…

A: Velocity is the quantity that is the rate of change of position concerning time, whereas…

Q: 1. A motorized toy car moves at a constant velocity of 4 m/s. You start recording its motion at zero…

A: (a)  Now let us make a table of different cordinates, At t = 0, x=2m t= 1s , x= 2+4 = 6 m t=2s ,x =…

Q: 8. A stone is dropped into a deep well and is heard to hit the water 9.6 sec after being dropped.…

A: When any object falls from a certain height, the acceleration of the object becomes acceleration due…

Q: 2. The position of a drone as a function of time is given by *(t) = ( 8 i + 1.5 k) + (-3 î + 2 j) t…

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Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.