Determine the acceleration of the particle when velocity 50 m/s( Hint : X= 6t3 – 18 t +12). 133 m/s2 136 m/s2 O 134 m/s2

Q: A baseball player throws a ball straight up into the air. At a height of 2.8 m above the release…

A: We know thatv2=u2+2asHerev=final velocityu=intial velocitya=accelerations=Displacement

Q: 1. You launch a projectile in the air from a height of 50 ft. The velocity of the ball, v(t) is…

A:

Q: 4. A stone thrown horizontally fell onto the ground after 3 second at a distance of 18 meters from…

A: Initial speed Horizontal initial speed = ux Vertical initial speed = uy = 0 m/s Height = h…

Q: A particle starts from rest at a position x(0) = 0. Find the velocity v(t) and position y(t) of the…

A:

Q: In a rockets test by NASA, a rocket travels upward at 320 m/s, and when it is 70km from the ground…

A:

Q: 1. Initially at rest, acceleration = 4 ms-², time taken = 8 s. Find the distance. %3D a) 100m b)…

A:

Q: #4. Here is the velocity graph of an object that is at x = -5 [m] at t = 0 [s]. At t = 4.0 [s], the…

A: Divide, the graph into the rectangle and a triangle in order to find the position of the object at t…

Q: A particle starts from rest at a position x(0) = 0. Find the velocity v(t) and position y(t) of the…

A:

Q: A car accelerates from 10 m/s to 20m/s at a rate of 5 m/s?. How far does the car travel while…

A: Given: Final velocity (V) = 20 m/s  Initial velocity (V) = 10 m/s  Acceleration (a) = 5 m/s2

Q: A ball is thrown upward with an initial speed Vo. When the ball reaches a height of h = 2 m, its…

A:

Q: A car is moving along a straight road with an initial velocity of v=14 m/s and an acceleration, a=6…

A: Given that: Initial velocity of car, vi= 14 m/s acceleration of car, a = 6m/s2 time, t = 4 sec

Q: An object has an acceleration of +1.2 cm/s². At t = 4 s, its velocity is -3.4 cm/s. Determine the…

A:

Q: A ball is thrown from A. If it is required to clear the wall at B. Given: Initial velocity, VA =…

A:

Q: 1.A ball is thrown straight up with an initial speed of 12 m/s. What are the velocity and…

A:

Q: car with an initial velocity of 8.00 m/s accelerates at a constant rate of 3.00 m/s?un eaches a…

A: Given values:- Initial velocity of car,(u)=8 m/sec ----(1) Acceleration of car,(a)=3 m/sec2 ----(2)…

Q: A ball is thrown vertically upwards with a velocity of 48 ft/s from the top of a building 35 ft…

A: initial velocity (u) = 48 ft/sec height of building = 35 ft

Q: A particle moves along the x axis according to the equation x = 1.90 + 3.02t − 1.00t2, where x is…

A:

Q: What is the car's velocity between 240 s and 300 s? Acceleration While Driving Car 3.5 3- 2.5- 1.5-…

A: Acceleration is defined as the rate of change of velocity. If the velocity of an object remains…

Q: While a helicopter is simultaneously ascending 6 m per second and flying due north at 110 km/h, an…

A:

Q: 16. Distance = 60 m, final velocity = 8 ms-1, time taken = 12 s. Find the initial velocity. a) 1m/s…

A:

Q: A rock thrown to the right with an initial horizontal velocity of 4 m/s lands after 5 seconds. What…

A: Write the formula for the distance d in terms of speed s and time t as, d=st

Q: A freely falling object requires 1.5 s to travel the last 30.0 m before it hits the ground. From…

A:

Q: A small bag of sand is released from an ascending hot‑air balloon whose constant, upward velocity is…

A:

Q: 7. Calculate the displacement and velocity at times listed below for a ball thrown straight up with…

A: 7. Initial velocity (u) = 17m/s

Q: How fast must you throw a stone

A:

Q: 27. Starting at time t = 0, an object moves along a straight line with velocity in m/s given by v(t)…

A: Given--- v(t) = 98 - 2t2 . We have to find--- When it momentarily stops its acceleration ?

Q: 7. The max height of an object launched at 18 m/s directly up from the ground is: a. 17 m b. 19 m…

A:

Q: 3. Initially at rest, acceleration = 2 ms-2, time taken = 4s. Find the distance. a) 13m b) 14m c)…

A: Given Data, Acceleration(a)= 2 m/s2 Time taken(t)= 4 s

Q: Abaseball is thrown vertically upward and reaches a maximum height of 50.0 m. What is the velocity…

A:

Q: A car accelerates from 5.0 m/s to 21 m/s at a constant rate of 3.0 m/s2. How far does it travel…

A:

Q: QUESTION 9 The position of a particle moving along x direction is given by: x-12t+3t2.The velocity…

A: Introduction: The velocity of the object is defined as the rate change of position with respect to…

Q: 1. The motion of a car moving through east is given by x(t) = 18.0 m + (8.4 m/s)t – (0.0350m/s²)t³.…

A: Given: The equation of the position of the object is given as. xt=18+8.4t-0.035t3 m…

Q: A particle moving with a constant acceleration has a velocity of 20 cm/s when its position is x = 10…

A: Given, A particle is moving with constant acceleration has a velocity of 20 cm/s when its position…

Q: 18. The motion of a bee flying through east is given by: x(t) = 18.0 m + (10.4 m/s)t –…

A:

Q: An object has an acceleration of +1.2 cm/s2 . At t = 4.0 s , its velocity is −3.4 cm/s . Determine…

A:

Q: A particle moves along the x axis. It is initially at the position 0.330 m, moving with velocity…

A:

Q: 4. If a particle's position is given by the expression x(t) = 1.001t -3.891t* + 2.335t - 1.742t2 +…

A: Position function is given by Differentiating with respect to time we get velocity

Q: Suppose an object is thrown straight up in the air with a high positive velocity. When the object…

A: When the object is thrown vertically upwards, then the object has kinetic energy but no potential…

Q: 8. Determine the acceleration and velocity of the object whose motion is depicted by the following…

A: Solution- (1) Acceleration of object-

Q: 9. An object moved 4.0 m along the positive x-axis in 2.0 s and then again moved 5.0 m along the…

A: Given data:  Displacement (x1) = +4.0 m, in t1 = 2.0 s Displacement (x2) = -5.0 m, in t2 = 3.0 s…

Q: A particle moves along the x axis according to the equation x = 1.93 + 2.96t – 1.00t2, where x is in…

A:

Q: A car, starting from rest, accelerates in a straight-line path at a constant rate of 7.17 m/s². How…

A: Given values: Initial velocity, u=0 m/s Acceleration, a=7.17 m/s2 Time, t=24.3 s

Q: 3. An object is thrown vertically downward at 5 m s-1 from a height of 30 m. Calculate (i) the speed…

A:

Q: 4- A particle, originally at rest and located at point (3 ft, 2 ft, 5 ft), is subjected to an…

A: Particle velocity in X-direction at t = 4 s. given,

Q: 1. A particle moving in a straight line has an acceleration a = 4t – 9. Its initial velocity is…

A: According to guidelines we need to solve only first question .kindly repost other question in the…

Q: 2- If the position in (m) of a moving particle along a straight- line path is defined by s = 5t* -…

A: Given  s=5t4-6t3-22t+55 time t=2s

Q: A car is moving along a straight road with an initial velocity of v;=23 m/s and an acceleration, a=6…

A:

Q: Question: The velocity of a particle moving in the xy plane is defined byů = (6.0t – 4.0t²)î +…

A:

Q: A ball is thrown straight up with a speed of 20 m/s. How long does it take to return to its starting…

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.