A ball is tossed with enough speed straight up so that it is in the air several seconds. (a) What is the velocity of the ball when it reaches its highest point? (b) What is its velocity 1 s before it reaches its highest point? (c) What is the change in its velocity during this 1-s interval? (d) What is its velocity 1 s after it reaches its highest point? (e) What is the change in velocity during this 1-s interval? (f) What is the change in velocity during the 2-s interval? (Careful!) (g) What is the acceleration of the ball during any of these time intervals and at the moment the ball has zero velocity?

Q: Near the end of a marathon race, the first two runners are separated by a distance of 45.0 m. The…

A:

Q: one stone falls from a cliff, a second one is thrown 3 seconds later, and they both hit the ground…

A: The first stone is dropped from the rest and the second stone with an initial velocity of 58.8 m/s,…

Q: sprinter in the 100 m dash accelerates for 1.5 seconds when the starting pistol goes off, before…

A:

Q: . A ball is directly thrown upward with a velocity of 5 m/s. (a) Find the maximum height reached in…

A:

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

A:

Q: A soft tennis ball is dropped onto a hard floor from a height of 1.90 m and rebounds to a height of…

A: Given : h1 = -1.90 m (negative because of downward motion) h2 = 1.34 m dt = 3.50 ms = 3.50 × 10-3 s

Q: The brakes are applied to a moving car, causing it to uniformly slow down. While slowing, it moves a…

A: Distance travelled (S) = 40.0 mFinal velocity (v) = 2.05 m/s Time (t) = 7.00 s

Q: Question 2 (10 points) A key falls from a bridge that is 45 m above the water. It falls directly…

A: Given,  x = 12 m  So horizontal distance covered x = Vx t       t = 12/Vx    -------------(1)  Where…

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

A: Initially velocity , v0 = 5 m/s  Initially height , y0 = 1.7 m  Final height , y = 0 m  To find : a)…

Q: For a gun to shoot a bullet, it must accelerate the bullet within its barrel from an unmoving state,…

A: Given data: Initial velocity (v0) = 0 m/s Final velocity (v) = 500 m/s Displacement (Δx) = 0.75 m…

Q: The position of a particle is given by: x = 9.6 seconds. (a) When does the particle momentarily…

A: Position of particle is given by x=9.6-4.0t+2.0t2  A) if the particle is momentarily rest means its…

Q: A ball is thrown upward with an initial velocity of 32 m/s. (a) Using approximate value of g= 10…

A: (a) To find the velocity of the ball after 4.1 seconds, we can use the equation: v = u - gt, wherev…

Q: (a) Calculate the height of a cliff if it takes 2 s for a rock that falls off the cliff to hit the…

A:

Q: At the end of a race a runner decelerates from a velocity of 9.10 m/s at a rate of 1.50 m/s2. (a)…

A: Velocity, u = 9.10 m/sDeceleration, a = 1.50 m/s²Time, t = 6.50 s

Q: ball is thrown straight up with an initial velocity of 40 m/s, so that its height (in meters) after…

A:

Q: ball is thrown up at 70 m/s. It goes up and then falls to its original height. (a) How long does it…

A: As per our guidelines, we are supposed to answer only first three subparts in case of multiple…

Q: A particle starts with an initial velocity 2:5 m/s along the positive x direction and it accelerates…

A:

Q: The brakes are applied to a moving car, causing it to uniformly slow down. While slowing, it moves a…

A:

Q: Two particles A and B move with constant velocity about the same axis ?̂ in the opposite direction.…

A: The particles A and B move with constant velocity in opposite direction. The distance between the…

Q: how far did it travel between times t = 0s and t = 2s? (Distance not displacement, plot x vs. t…

A:

Q: A boy start to run up a staircase, he has a velocity of 6m/s at the lowest point of his motion.…

A:

Q: A rocket is fired vertically with constant acceleration of 120 ft/s2 for 3 min. Its fuel is then…

A:

Q: 142 (m)

A: Given, Initial Velocity of A = 6.0 m/s Initial Velocity of B = 5.0 m/s Distance between two…

Q: A penny is thrown vertically upward with a speed of 10 m/s. Exactly 1 second later a dime is thrown…

A: given,

Q: A cargo helicopter, descending steadily at a speed of 3.8 m/s, releases a small package. Let upward…

A:

Q: (a) It takes a car 5.5 seconds to accelerate from rest to 25 m/s. Calculate the distance traveled by…

A: (a) To calculate the distance traveled by the car while it is accelerating from rest to 25 m/s in…

Q: a) If a flea can jump straight up to a height of 0.440 m, what is its initial speed as it leaves the…

A:

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

A: It is given that,  vo=5 m/syo=1.10 myf=0Δy=-1.1 m/sa=-9.8 m/s

Q: i) A ball is thrown vertically up with an initial velocity of 16 m/s. (a) How high will it reach (b)…

A: Given: Initial speed of the ball, u = 16 m/s

Q: A stone is falling vertically downward from a tall building of height 90m. (a) How much time it will…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: At the edge of a 12 -m-tall building, two children throw rocks at 10 m/s, one upward and one…

A: During the upward motion, we take the value of the acceleration of the rock as negative and during…

Q: soft tennis ball is dropped onto a hard floor from a height of 1.85 m and rebounds to a height of…

A: Given  Height =1.85m rebounding height =1.41m t=3.50ms.

Q: A stone is falling vertically downward from a tall building of height 70m. (a) How much time it will…

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.