Imp is made by leaning a track against a few textbooks. A cart is set on the track and rolls down the ramp. Below on the left is a picture of this setup. Below on the right| the position and time data of the cart moving down the ramp. Position from top of ramp (mm) Average time (s) 0.00 100 0.48 200 0.68 300 0.84 400 0.97 500 1.08 600 1.18 700 1.28 800 1.37 900 1.45 (a) Estimate the Distance of the cart at 0.76 seconds. Write your answer in centimeters 1000 1.53 (cm). (b) A car is travelling at 100 m. Calculate how far does the car travel in 140 minutes? (c) Sketch a Position-Time graph of this data. Plot the Position data in meters, and plot the Time data in seconds.

Q: 56-60. Find the magnitude and direction using law of sines and cosines. 3. B. 7.0N A. 5.ON R 9.0 N

A: Given,  A = 5.0 N B = 7.0 N R= 9.0 N Using law of cosines we can obtain the angle phi,  Phi =…

Q: PIUDiem radius of 1 inch and the large that connects them travels small wheel rotates at 800 R large…

A: radius of small wheel = r1= 1 inch radius of large wheel= r2 =  8 inch Angular speed of small wheel…

Q: What is Distributive law? * А.В %3DВ.А O a(A.B) = AxB %3D O A.(B+D) = (A.B) + (A.D) O a(A.B) =…

A: In this question they have asked about distributive law   This law give relation between…

Q: 2- find the unit vector perpendicular to the vector P= 3ax +2y +ag

A:

Q: 1. For the vectors shown in the figure, find a) A. B b) B.C c) A. C Use either method. Be careful…

A:

Q: 62) Compute the dot products between the following vectors. The dashed line denotes the positive z…

A:

Q: An 18, 9, and 6 ohm resistor are connected in series to a battery. The current in the 9 ohm resistor…

A:

Q: got 0 as my answer can you show me the solutio

A: Magnetic field is perpendicular to the area vector of coil. So even change in magnetic field does…

Q: Find the matrix representation for Ĵy of a particle having 3 j 2 IN

A:

Q: Part (c) What is the change in the magnitude of the electric field (in N/C) if a test point moves…

A: E=-dVdrE=-ddrq4π∈0a0exp-2ra01+a0rE=q2πa02exp-2ra0-3

Q: Consider a container with a frictionless piston that contains a given amount of CO₂. Assume that the…

A:

Q: 3 Vectors of force A,B,C in a cartesian plane. The vectors are calculated in Newton (N).   The…

A: In this question we have to find the angle of the vector A from negative x-axis. Please give…

Q: Question 1.1: Calculate the dot product of vectors A and B, where |A-5 and |B|= A A A В a. b. B

A: Given that A =5B = 3

Q: As a ball falls under the influence of gravity, does gravity do positive work or negative work?…

A:

Q: Problem 3: Find unit vector of a force. Find the unit vector corresponding to a 100 N force at 60°…

A:

Q: Mark with an X the type of waves to which the examples of disturbances that are presented in the…

A:

Q: Find the following vector product B x B.

A: From the given diagram: The x-component (horizontal component) of B→ is       Bx = Bcos53o =…

Q: Problem 2.25 A car moving in a straight line starts at z = 0 at t = 0. It passes the point = 25.0 m…

A:

Q: angular position of a disk rotates about its axle is given by e(t) =-3. second. hat is the angular…

A:

Q: For the following three vectors, what is 3 C (3A x B A = 3.00î + 4.00 – 3.00k B=-4.00î + 3.0oj +…

A: A→ = 3i^ + 4j^ - 3k^B→ = -4i^ + 3j^ + 2k^C→ = 6i^ - 7j^3.C→ = 3.(6i^ - 7j^)= 18i^ - 21j^

Q: Given two force vectors F = -24î + 63 – 17k F, = 102 – 173 + 24k . and Fill in the blanks to make…

A:

Q: + G X E Y=L+G Q = X + E J Z U

A: Vectors have both magnitude (size) and direction. Consider toward right as positive and toward left…

Q: What should be the power of the voltage supply that we will use in velocity selector region?

A: Answer for (4):-

Q: 1.What is the induced emf if the magnetic field through a 10 turn coil increases at a rate of .2…

A: The given data are: N=10Bt=0.2 T/sr=0.5 mV=2 V Here, N, B, r, and V represent the turns, magnetic…

Q: Problem 3: Consider the following vector: =-6i-3j Part (a) Arrange unit vectors to form the vector…

A: We know the coordinate axis sign convention as:We have given vector

Q: What is the unit vector for vector M = [3.5, 4.8, -9.3] N a. [0.317, 0.435, -0.843] b. [0.435,…

A:

Q: Consider the following 2 vectors: A =3.42 î–6.44ĵ B =2.33 î+4.26} What is the magnitude of Á × B.

A:

Q: Solve if the 1. 2. 3. 4. following vectors is a basis: Ả = in – 3iz + 2ig - B = 21₁ - 41₂ - i3 C =…

A: (1) Given that A=i1-3i2+2i3 B=2i1-4i2-i3 C=3i1+2i2-i3 The required solution is following in step 2…

Q: Find the angle between vectors for (a)D= (-3.0i – 4.0j ) m and A = (-3.0i + 4.0j ) m and (b) D =…

A:

Q: c) where the x² comes from.

A: In this, it is asking about only part (c). In case of potential energy of spring, this energy is…

Q: Six vectors are shown below. ン Select all vectors which have the same magnitude.

A: The quantities which has both magnitude and direction are called vectors. A vector has a head and a…

Q: Problem 5: 45 40 30 Figure 1. The red points from 1 to 15 show the successive locations of a puck at…

A: Given:

Q: A capacitor with initial charge qo is discharged through a resistor. What multiple of the time…

A: Given: The capacitor with initial charge qo is discharged through a resistor. To find the multiple…

Q: 3) Jack takes a 4.0-kg bucket of water connected on a cord, and swings it in a vertical circle of…

A: The situation can be shown as below,

Q: Compute the potential difference AV between: a) Two conducting spherical shells of radius a and b…

A: Compute the potential difference between :  Two conducting spherical shells of radius a and b with…

Q: c) How far down the highway did the car travel during the 8.4 seconds?

A: c. Given, Initial velocity of the truck is u=30kmh Final velocity of the truck is v=120kmh Time…

Q: Find angle between two unit vectors A and B. A = 10i-3j-15k; B = 13i-5j+3k

A:

Q: A uniform rod of length L= 4 m and mass M =2 kg is attached at one end to a frictionless pivot and…

A:

Q: A ball whirls around on the end of a string, moving in a circle at a constant speed of 3.0 m/s. If…

A: for a circular motion acceleration =v2R

Q: Problem 1: A certain circuit breaker trips when the rms current becomes 14.5 A. Randomized Variables…

A: Rms current (Irms14.5 A

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.