Joanna is running laps around a circular track. In 25 minutes, she completes 14 laps. What is the period, T, of Joanna's motion?   38.4 s   1.79 s   107 s   81.1 s

Q: The position of an object at time is given by the parametric equations . x= 4t^2+2t , y=3t^2+4 Find…

A: The position of the object at time in x and y direction is given by,  x = 4t^2 + 2t  y = 3 t^2 +4 t…

Q: A Ferris wheel with radius 8.0 m initially rotates clockwise at a constant rate by completing 1.50…

A: Using the kinematics equation,

Q: Problem 1. A team is testing a car's brake and gas pedals by measuring its speed over fifteen…

A:

Q: A passenger has an inward acceleration of 10.08×103 m/s? while riding a Ferris wheel that is 56.1 m…

A: diameter = 2 r = 56.1 m radius = r = 28.05 m acceleration = a = 10.08 x 10-3 m/s2

Q: A robot has been designed and is tested on the course above (A-B-C-D-E). If the robot takes 3.4…

A: Required to find the average speed of the robot.

Q: 23. The graph of velocity against time for a moving object is shown. velocity 0 ► time Which of the…

A:

Q: We measure time it takes to complete 5 rotations 3 times and get the data of: t1= 6.1 sec t2= 6.8…

A: Average of time measured =(6.1+6.8+5.5)/3 =6.13 s This is the time for 5 rotations.

Q: Case 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and…

A: Solution-

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: ple 1. A particle moves along the curve F = (1³-41)i + (1² +41)j + (81²-31³)k, where It is the time.…

A: r=(t3 - 4t)i^ + (t2 + 4t)j^ +(8t2 -3t3)k^Tangential component of velocity (vT) = drdtvT = (3t2 -…

Q: A particle starts from rest at x = -3.2 m and moves along the x-axis with the velocity history…

A:

Q: A small object with mass 0.200 kg moves with constant speed in a vertical circle of radius 0.500 m.…

A: GIVEN            time period = 0.10 s             Radius of circle = 0.5 m

Q: A 24 kg spy drone is programmed to fly around at a constant height of 97 meters around a central…

A:

Q: The motion of a particle is given by the equation s = 3t4 -+ 4t? where s is in foot and t is in…

A: V= speed = differentiation of displacement (s)  i. e.,  V = ds/dt. Acceleration a = dv/dt…

Q: A 26 kg spy drone is programmed to fly around at a constant height of 69 meters around a central…

A:

Q: Case 1: A DJ starts up her phonograph player. The turntable accelerates uniformly from rest, and…

A:

Q: #11. A ball rolls along the smooth track shown in figure. Each segment of the track is straight, and…

A: The motion of the ball is divided into three parts  Part 1 The object moving on the horizontal…

Q: the velocity of an object with time is given as in the figure below. if the values of a= 82.3,…

A: given that-  velocity time graph . area under the curve gives the distance. average acceleration =…

Q: The position of a particle moving along the z-axis is given by a(t) = 6.0 - 2.0t m. Help on how to…

A: The position of the particle is given by x=6-2t where x is in metres and t is in seconds

Q: A point moves on a circular path with its position from rest defined by s = t^3 + 5t, where s and t…

A: S=t3+5tacceleration, a=8.39 ms2time, t=0.66 s

Q: The velocity of a particle is defined as v(t) = {0.8t² i + 12t¹/2j+5k} m/s. Determine the magnitude…

A:

Q: A particle moves in a straight line with the velocity shown in the figure. Knowing that s=-8m at…

A:

Q: Find the direction of the total acceleration vector.  Express your answer as a positive number with…

A:

Q: An object is being spun at the end of a rope 0.30 m long and is in a uniform circular motion. In 2…

A: Angular frequency is the angle covered in radians per unit time of a moving object. ω=2πT ω=angular…

Q: A 1,311kg car is on a flat circular track of radius 41.8m. If the coefficient of static friction is…

A: We know thatVmax=μsRgWhereVmax=maximum speedμs=coefficient of static frictionR=radius of…

Q: An automobile travels along the circular path of radius 35 m such that its speed is increased by a =…

A:

Q: A ball is tied to the end of a string and swung around overhead. The 0.05 kg ball makes a complete…

A:

Q: Two cars are moving at a constant speed along two different circular tracks. Car 1 has a period of…

A:

Q: An object has a displacement s at time t given by the equation: s = 5√t - 3t^3. What is the…

A:

Q: A particle moves in accordance with the equation r = t² + t and θ = 1/6t³ where t denotes the time…

A:

Q: A runner completes one lap around a circular track with at a time 272 s at a constant speed of 3.1…

A: The objective of the question is to find the radius of a circular track given the time taken to…

Q: A pilot of mass 70 kg pulls out of a dive following a circular path of 900 m from the middle of the…

A: Given data The mass is m=70 kg The radius of rotation is R=900 m The velocity is, v=250 m/s   The…

Q: 1. A ball is released from rest and slides down a frictionless incline. The below table summarizes…

A: the velocity of a ball measured at different instants of time is given as : t (sec) v (m/s)…

Q: A particle moves along the z-axis according to r(t) = 4t - 7t² m. a. What is the instantaneous…

A:

Q: x axis position(m) y axis time(s) 0 0 2 1 8 2 18 3 32 4 A.Describe the relationship between x and y…

A:

Q: 6. A particle is moving on a line according to the equation of motion s=3t^2+5t+4 where s is in…

A:

Q: A toy train is traveling around a horizontal circular track of radius 1.8 m at a constant speed of…

A:

Q: A. Without finding T and N, write the acceleration of the motion a(t) to the position vector r(t) =…

A: Given:-           rt = t2 i  +t+13t3 j +t- 13t3 kWheret = 1

Q: Sophie is sitting in the stands, watching a car race around a circular track. The track has a radius…

A: Given data-  Radius of track r=68.0 m  The car passes sophie approximately every 9.44 seconds. So…

Q: On earth, it takes 1 hr for the hand on a clock to move from 1PM to 2PM. The clock is moved to the…

A: Given value--- On earth, it takes 1 hr for the hand on a clock to move from 1PM to 2PM.…

Q: The motion of a vibrating particle is defined by the position vector r = 10(1 − e−3t)i + (4e−2tsin…

A: Radius is given, we have to find the velocity and acceleration when t=0

Q: 6. For vectors = -î – 4ĵ and à = -31 – 2j, calculate: a. Ā+B and its magnitude and direction angle…

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.