In this experiment, a tennis ball is released from a certain height. While the ball falls down, time of release (t;) and time when the ball touches the ground (tr) are recorded using a stopwatch and slow motion video. The difference At = tr-ti is the time interval during the fall. For the first experiment (available with video), t=17.31s and tr= 17.94s, yielding At = 17.94s - 17.31s = 0.63s. At values are listed below for 5 different repeats of the experiment using the same height. Experiment No At (s) 0.63s 2 0.64s 3 0.62s 4 0.65s 5 0.63s ANALYSIS: 1. Calculate the release height (initial height) of the ball for each of the five experiments. (Show calculation. Include the formula, units used in your calculation)

Q: A particle is moving from the origin with acceleration: a=(26-12t)ms^-2 At t=4 seconds the…

A: Solution

Q: A steel ball is dropped from a building's roof and passes a window, taking 0.12 s to fall from the…

A: Given: Time taken by ball to cross the window, t2 – t1 = 0.12 s Length of window, y2 -y1 = 1.20 m

Q: ASA launches a rocket at t=0t=0 seconds. Its height, in meters above sea-level, as a function of…

A: The rocket splashes down after 47.106 seconds. The rocket peaks at 2832.918 m qbove sea-level.

Q: A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: How far from the origin has the particle gone after 0.11 minutes if Vx = 3m/s , Vy = 2 m/s and Vz =…

A: Given: vx=3 m/svy = 2 m/svz = 3.31 m/st = 0.11 m

Q: Question 213 + 812 -241- 1 for t2 0, where t is 3 A particle travels along a horizontal line…

A:

Q: A particle moves according to a law of motions = f(t), t 2 0, where t is measured in seconds and s…

A: NOTE : As per bartleby guidelines we can answer only first 3 sub-parts of a given question. For…

Q: The position of a particle moving along the x-axis is described by x = t3 – 108t in where t is the…

A:

Q: the motion of the particle is described by the equation x(t)=at^3-bt^2. where a is 3.36 in m/s^3 and…

A:

Q: The position of a particle in millimeters is given by s =27-12t+t^2 where t is in seconds. Find: The…

A: Given that:- Position of the particle is given as S(t)=27-12t+t^2 (mm)

Q: An object's position as a function of time is given by the expression; x(t) = 14.7/(t+1) + 2.9t3 -…

A:

Q: An object is dropped from rest and takes 2.83 seconds to reach the ground below. From what distance…

A: Given Data: The initial velocity of an object is, u=0 m/s The time required to reach below the…

Q: A particle having an initial velocity of 200 ft per sec decelerates according to the a-t curve in…

A: Given values: Initial velocity, u=200 ft/sec

Q: Two students are asked to find the height of a particular building using a barometer. Instead of…

A: GivenBarometer is thrown from a building of height H ,Student 1 reporst fall time t1=2.0sStudent 2…

Q: Two runners start simultaneously from the same point on a circular 200-m track and run in opposite…

A:

Q: The rectilinear motion of a particle is governed by the equation a = 6t – 4 where a is in m/s^2 and…

A: In this question we have to find the initial velocity and the position of particle. Please give…

Q: A particle moving along a line has position s(t) = t4 − 18t2  at time t seconds. At which times does…

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

Q: An object's position as a func of time is given by ; x(t) = - 200 (( t + 1 ) ^ - 1) + 6t^2.  (Assume…

A:

Q: An object's position as a function of time in one dimension is given by the expression; x(t) = 5.89t…

A: From the question position of object as a function of time is given by- x(t) = 5.89×t +9.13

Q: An iceboat sails across the surface of a frozen lake with constant acceleration produced by the…

A: Given:  final velocity, v = 0  initial velocity, time, t  = 3 s

Q: An iceboat sails across the surface of a frozen lake with constant acceleration produced by the…

A: Given data:  Initial velocity (Vi ) = (2.69 î - 2.98 ĵ)m/s Time (t) = 3.00 s Final velocity (Vf) =…

Q: when she sees the house, she slams on her brakes. If her reaction time is 1.20s and her car…

A: Initial speed of car u =20.0 m/s Reaction time itr=1.20 s De acceleration a =3.50 m/s 2…

Q: Using approximate values, calculate the slope of thecurve  to verify that the velocity at t = 10.0…

A: Consider a tangent at the point (with t=10.0 s) on the curve Slope of the tangent

Q: For added effect he takes the monitor of the roof which is about 84 m above the ground. What is the…

A: The 1st part of the question is not clear. However, the 2nd part can be answered. We have to find…

Q: Using approximate values, calculate the slope of thecurve  to verify that the velocity at t = 30.0…

A: The slope of the position (x) vs time (t) curve gives the velocity. From the graph, at t1=10 s, x1=5…

Q: A particle moves according to a law of motion s = f(t), t 2 0, where t is measured in seconds and s…

A: Given particle moves in s = 0.01t4-0.03t3 a) Hence the velocity of the particle is  v = dsdt = 0.04…

Q: One simple model for a person running the 100 mm dash is to assume the sprinter runs with constant…

A: Distance = s = 100 m Top speed = v = 11.1 m/s Time = t = 2.44 s Say initial velocity is u = 0 m/s…

Q: Dr. John Paul Stapp was a U.S. Air Force officer who studied the effects of extreme acceleration on…

A:

Q: In a construction site, a heavy hollow block falls down from a height of 63m above the ground.…

A: Maximum time to react is the time taken by the block to travel from height of 63m to the height of…

Q: For the following motion equation s=2t^3 -15t^2+36t-22, t⩾0 a. When is the particle at rest?

A:

Q: A boy jumps from rest, straight down from the top of a cliff. He falls halfway down to the water…

A: According to question we need to find that How much time passes during his entire trip from the top…

Q: Jeff Bezos just landed on the moon and is conducting an experiment, he drops a hammer from rest from…

A: Write the given values with suitable variables. h=2.01 mu= 0 m/st=1.04 s Here, h, u, and t are the…

Q: This time particle A starts from rest and ac- celerates to the right at 72.5 cm/s. Particle B starts…

A:

Q: Why does a constant displacement plot vs time represent zero velocity?

A:

Q: An object is moving along a straight line, so that its distance x m from the origin after t seconds…

A: Given, Position of particle in time t, x = 2t3 - 15t2 + 36t

Q: An object moves along a line with an initial velocity of 70 ms-1. For the first 8 s the object…

A: Given data: Initial velocity (v0) = 70 m/s Uniform velocity for first 8 s Then acceleration (a) = -7…

Q: The position of a particle moving along the x-axis is given by x = 12.5 + 23.9t - 4.04t3. Assume SI…

A: Given:Position of a particle on x-axis, x = 12.5 + 23.9t - 4.04t3

Q: The position, x, of a longboarder as a function of time, t, is given by x = (-3.22 m/s)t + (7.0 m)…

A: Write the initial position of the longboarder.   At t=0,xo=-3.220+7=7 m

Q: The velocity-time graph of a particle in one dimension is shown in the figure below. в D 4 10 12 14…

A:

Q: A particle's motion is describe by the equation d(t) =3t²+2t²-2t-5, with time(t) in seconds…

A: Given: d(t) =3t²+2t²-2t-5, We have to find  average velocity from t 2.00 to 3.00 Instantaneous…

Q: An object undergoes acceleration 2.31 +3.6j m/s? for 7.9 s at which time its velocity is 33i +15f…

A:

Q: What is the final velocity, in meters per second, of a freight train that accelerates at a rate of…

A:

Q: A stone is released from rest from the top of a building of height 180 m. How much time elapses…

A:

Q: If you know that xFxj+vjt+0.5at and vFVi+at Based on the two equations y=0.85x2+0.41x+0.7…

A: Given equations of motion :y = 0.85x2 + 0.41x + 0.7y = 1.72x + 0.44To find : The instantaneous…

Q: A particle moves according to a law of motion s = f(t) = P - 15t + 72t, tz 0, where t is measured in…

A: Given:The equation of motion of particle is given as:f(t) = t3 - 15 t2 + 72 t

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.