A drag racing car starts from rest at t = 0 and moves along a straight line with velocity given by v = bt2, where b is a constant. The expression for the distance travelled by this car from its position at t = 0 is: abt3 O br?13 4bt? 3bt?

Q: In this problem, you will apply kinematic equations to a jumping flea. Take the magnitude of…

A: Maximum height reached by flea( h) = 0.410m Free fall acceleration (g) = 9.80 m/s² Assume that…

Q: Suppose an object has an acceleration of ā = 2.0 tî. What will its velocity be after 10.0s if it…

A: Given data The equation of the acceleration is given as a→=2 m/s2ti^. The time duration is given as…

Q: ong x-axis is defined by v=s3-4s2+6s where v is in m/s and

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Q: A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving…

A: Velocity of bike = 40m/s Length of bus=35m Angle by biker=32°

Q: downward with an initial speed vo. If the two rocks hit the ground at the same time, what is vo? m/s

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Q: Albert is riding his scooter at a velocity of 52 km⁄ℎ? when he sees an old woman crossing the road…

A: Given : vo = 52 km/h = 52(1000/3600) = 14.44 m/s x = 30 m v = 0 (because finally the scooter stops)…

Q: I need help on this problem: You go south of your friend's house 150 miles away at 50.0 MPH. Your…

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Q: The particle travels along the path defined by the parabola y = 0.5x², where and y are in ft.…

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Q: At time t = 0, a particle has a velocity of m a(t) v = 4.00. The following graph shows the particles…

A: Dear student The area under acceleration- time graph gives us the total change in velocity of the…

Q: A car travels along a 1000 m path, starting from rest. For the first 300 m, it accelerates at 2.00…

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Q: The acceleration of a particle is given by a- 2t- 17, where a is in meters per second squared and…

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Q: The Tiida is a vehicle in motion from rest and accelerating at a rate of 4 m / s2 over a distance of…

A: Given : Acceleration = 4 m/s2             Distance = 20 m

Q: A student begins at rest and then walks north at a speed of v1=0.65m/s. The student then turns south…

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Q: An automobile reduces its speed from 70.00 kph to 50.00 kph after covering a distance of 480.00 m.…

A: Second equation of motion, V2 - U2 = 2 a S Where, V = final velocity               U = initial…

Q: We are standing on the top of a 1040 feet tall building and launch a small object upward. The…

A: Given data The height of the building is H = 1040 ft. The expression for the height of the object…

Q: A swimmer bounces straight up from a diving board and falls feet first into a pool. She starts with…

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Q: Now let’s apply our definition of average velocity to a swimming competition. During one heat of a…

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Q: Cheetahs can accelerate to a speed of 20.2 m/s in 2.65 s and can continue to accelerate to reach…

A: The initial speed of the cheetah is zero. The speed the cheetah reaches in 2.65 s is 20.2 m/s. The…

Q: A car position is. determined by the equation x(t) = 7.45 m/s^3t^3+3.91 m/s^2t^2-21 m/s t+2.17 m.…

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Q: A man walks 20.0km South and then 8.00km  35.0oN of W. a) What is the man’s displacement ?…

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Q: A sprinter runs a 100 m dash in 12.0 s. She starts from rest with a constant acceleration ay for 3.0…

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Q: You are standing on a circular track that is 315 m long. You begin jogging at the start line and…

A: given : (a) length of track l=315 m (b) distance travelled by sprinter d = 200m time taken t=21.75 s

Q: A DJI Mavic travels in a straight line. Its distance x from the airport is given as a function of…

A: x(t)=αt2-βt3 The velocity is given by  v(t)=dxdtv(t)=2αt-3βt2 where  α=1.50 m/s2β=0.0500 m/s3

Q: A brick was dropped from rest from a height of 91.4 m. How long does it take the brick to reach the…

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Q: The acceleration of a crate sliding down a ramp is given by ax = (0.25t²) m/s² and ay = (1.5t³)…

A: In this problem, we will first calculate the velocity in x and y directions and then we will…

Q: The position of an object is given by x = at3 - bt2 + ct, where a = 4.1 m/s3, b = 2.2 m/s2, c = 1.7…

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Q: sume that you are driving a car at 10.0 km/h and then you accelerate to 80.0 km/h with an…

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Q: You throw an object up with a speed of voy = 12 m/s from a height of y = 25 m. Part (a) How long, in…

A: Part A. Initial velocity in upward direction = Height from where the object is thrown = h  25 m…

Q: An antelope moving with constant acceleration covers the distance 65.0 mm between two points in time…

A: distance moved (d) = 65 m Time taken (t) = 7 secfinal velocity (v) = 16 msLet initial velocity = u…

Q: A cat falls from a tree (with zero initial velocity) at time t = 0. How far does the cat fall…

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Q: A particle traveling in a straight line starts from rest it has an acceleration of a = (8 m/s“)³ t2+…

A: The acceleration of the particle is given as : a=(8t2-2t) m/s2. The relation between acceleration…

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.