3) Which of the following can be modeled as a one dimensional motion?  (a) A car driving east (b) A plane taking off from a runway (c) A rock falling straight down from a cliff

Q: A runner moves along a circular track at a constant speed. a) Both (a) and (b) are true b) Her…

A: We have a circular track of radius say r along which a runner is moving with a constant speed say v.…

Q: 1) The position of a particle is tracked and its position vector 7 = (t+ 1) i+ (t + 2t)j where t is…

A: part(a)            position component y in terms of x            let x component =t+1…

Q: コイイデア ◯ 1 5 3 Which of the graphs of velocity versus time describes the motion of a particle with a…

A: In a velocity vs time graph, a straight line with a slope indicates either a increasing velocity or…

Q: 1. The position of a particle moving along the x axis is given by x=(ts-312+61) m, where m is in…

A: The question gives the position of a particle moving along the x-axis as x = (t^3 - 3t^2 + 6t) m,…

Q: 2) Let r(t) =, −ñ ≤ t ≤ ñ a) Show that the velocity and acceleration vectors are always…

A: Vector.

Q: 3. An animal has a coordinates of (1.1 m, 3.4 m) at time t, = 0 and whe located at (5.3 m, -0.5 m).…

A: (a) Given: The coordinates of the animal at time t1=0 is 1.1 m, 3.4 m. The coordinates of the animal…

Q: The velocity of a particle varies in time according to the expression V = t³X + 4tŷ – 72 m/s. What…

A:

Q: Problem 8: A quarterback can run with a speed of v, = 15 mph. He throws a ball with a speed of v, =…

A: speed of quarterback (vq) = 15 mph Launching speed of ball (vb) = 35 mph Launching angle = between…

Q: For a projectile motion, the horizontal and vertical components of two-dimensional motion are…

A: In a projectile motion one can resolve the velocity components into horizontal and vertical…

Q: X and Y bullets are fired from the same rifle at different elevation angles. Bullet X with an angle…

A:

Q: Acceleration is a rate of change of velocity.     Average velocity is the rate at which an object…

A: Acceleration is a rate of change of velocity. (Correct)           Acceleration (a) = dv/dt…

Q: 2.4 m/s, A bird flies in the xy-plane with a velocity vector given by 1.6 m/s³ and C =4.0 m/s². The…

A:

Q: 13. Which of the following statements is valid for a projectile? Take upward direction as positive.…

A: Projectile motion is the motion of a body projected into the air. After the initial force that…

Q: The fundamental difference between the two coordinate systems is that path coordinates depend on the…

A: The cartesian coordinates are defined as x and y. These are known as path coordinates which depend…

Q: 6. On a sunny day after an ice storm, a chunk of ice melts off a tall tree branch and falls to the…

A: Let the distance of the branch from the ground be x meters. While the distance from the eye level of…

Q: In a projectile motion, the velocity is A B C D always perpendicular to the acceleration never…

A:

Q: Is it possible for an object to have zero velocity and constant nonzero acceleration?

A:

Q: 4. While thinking, a person standing on a bridge overlooking a highway inadvertently drops an apple…

A: Given:              The length of the truck, l= 12m               The speed of the truck , v= 55…

Q: Which of the following is true about projectile motion? Choose two (A) the horizontal motion of a…

A:

Q: 4.) From an origin, a person walks 15m, 40°North of West. After which he walks another 20m North.…

A: The shortest distance will be the magnitude of the displacement given by the red vector. to find the…

Q: The position of the particle at time t is given by s(t) = t² – 8t + 15. - The particle is moving…

A:

Q: A particle travels along a straight line with a velocity v = (12 - 21) m/s, where t is in seconds.…

A: We know  that displacement is the smallest distance, hence in order to determine the value of the…

Q: 7(t) = x(t)î + y(t)ĵ x(t) = at + b, where: a = 1.00, y(t) = ct? + d, where: c = 0.125 , d = 1.00 m…

A:

Q: Two trains are passing each other on adjacent tracks. Train A is moving west with a speed of 24 m/s,…

A: Let east is positive direction and west is negative direction

Q: You have exactly 5 minutes 13 seconds to get to your next class on time and that classroom is 418 m…

A: Distance, D = 4182+4772 = 634.234 m Total time, t = 5 min 13 s = 5*60 + 13 = 313 s   Time taken to…

Q: e movement i

A:

Q: Q1) A particle initially at the origin and moving at v0 = 2^1-3^j m/s accelerates at a rate a = 2^1…

A:

Q: A straight section of a small river has a steady current of 2.0 km/h. Two docks on the same side of…

A: a) The Bob’s time to reach the dock can be determined as, Here, v, d, and t represent Bob’s speed,…

Q: 1.) A positron undergoes a displacement A7 = 1.07 - 2.5 +4.0k, ending with the position vector 7=…

A:

Q: 2. Assume that a particle, initially at the origin, travels in space with a velocity of V = cos(rt)î…

A: Given data: Velocity of a particle, v→=cosπti^+5-10tj^-k^

Q: 49) At t = 10 s, a particle is moving from left to right with a speed of 5.0 m/s. At t = 20 s, the…

A: Given Speed of the particle at t=10 s is 5.0 m/s moving left to right. At t=20 s Speed of the…

Q: The motions of a car and a motorbike along a straight road are described by the velocity vs time…

A: acceleration is the rate of change of velocity.

Q: The displacement of a particle which moves along the x axis is given by x = (-5 + 3t)^e-0.2t,…

A: Given: x=(-5+3t)e-0.2t

Q: Pilots of high-performance aircraft risk loss of consciousness if the undergo accelerations ceeding…

A: Centripetal acceleration of the flight a =5g = 49 m/s^2   Tangential speed of the flight V=…

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.