The velocity of a particle which moves along the s-axis is given by s˙ = 53 - 8t2 m/s where t is in seconds. Calculate the displacement Δs of the particle during the interval from t = 0.7 s to t = 3.3 s.

Q: The position of a particle is given by x=8t−2t2+8 where t is in seconds and x is in meters.  What is…

A: According to the given question, The position of the particle is given by expressions:- x=8t-2 t2 +8…

Q: A circular plate is rotationg with a constant angular velocity ω about its axis. On the plate a…

A:

Q: 1. The position of a particle which moves along the straight line is define by the relation x(t) = t…

A:

Q: Q16. When analyzing a particle undergoing curviliear motion using the normal- tangential (n-t)…

A: here the following option formula can be said as correct Normal-tangential (n-t) coordinates are…

Q: Tom is travelling on a train which is moving at a constant speed of 15 m s¹ on a horizontal track.…

A:

Q: (Select the best answer) For a particle moving along a curved path, the magnitude of the tangential…

A:

Q: velocity of a particle which moves along the s-axis is given by s˙ = 41 - 7t2 m/s where t is in…

A: Given:v=41-7t2t=0.9s to 3.1 s

Q: Choose correct answer: The motion of a particle is given by :V = 4t2+ 6, where (V) is the velocity…

A: Choose correct answer: The motion of a particle is given by :V = 4t2+ 6, where (V) is the velocity…

Q: Consider a particle that is moving along a straight line such that its position is given by x = t3…

A:

Q: y K * v X A particle is ejected into a moving fluid of velocity v*. The drag force applied by the…

A:

Q: A ball is suspended from a light 1.4 m string as shown. The string makes an angle of 28 degrees with…

A: a) apply the conservation of energy (K.E)p – mghi =KEF – mghF ½ * m (1.1)2 – mg* 1.4cos2β = ½*m*v2 –…

Q: The ground is frictionless, and the entire bottom of the 1m x 1m x 1m rigid box stays in contact…

A: Given,

Q: If a ball is dropped from a height of 5 feet, determine velocity of the ball just before impact with…

A: If an object is thrown vertically upward or downward under uniform acceleration due to gravity, then…

Q: H.W 1. The position of a particle is given by s 0.27t3 – 0.65t2 – 2.35t + 4.4, wheres is in feet and…

A: GIVEN :- S=0.27t3-0.65t2-2.35t+4.4   SOLUTION :- we know,v=dsdt.....(1)and, a=dvdt.....(2)using…

Q: particle is moved in a straight line accordir + 19 - nce travelled by the particle after 6 secor

A: Given Data : Particle is moving according to straight line relation : x = t2 - 6t + 8 Time (t) = 6 s…

Q: A particle is given an vertically upward speed of 20 m/s. What is its speed when it returns to its…

A:

Q: A particle is moving with its position defined as s (t) = t-6t+9t+5 (t is in seconds and s is in…

A:

Q: The end of the cable at B is pulled down with a constant speed. C В V1 А Values for the figure are…

A:

Q: If a particle moves in such a way that a = 2t - 1 m/s/s, where t is in seconds. Determine the…

A: Answer: 29.2 m

Q: The position of a particle is given by s = 0.27t3 - 0.76t2 - 2.44t + 5.13, where s is in feet and…

A:

Q: The velocity of aparticle which moves along the x-axis is given by x = 40-3t² (m/s) where t is in…

A: Givenx˙=40-3t2 t1=2 sec t2= 4 sec

Q: Part A:  If they are sliding on a smooth horizontal plane with the velocities shown, determine…

A:

Q: Determine the average velocityof the particle during this time interval.

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Q: A particle strikes the smooth surface with a velocity of 30 m/s. If e=0.8, (Vx) 2 is after the…

A: Given data, (V×)1 = 30 m/s e = 0.8 Find (Vx)2

Q: Problem 3 A particle moving along a straight line. The velocity as a function of time is as shown.…

A: From graph, the relationship between v and t is as follows:y=mx v=mt, where m is slope and…

Q: Two runners decided to make an experiment in a 400 meters straight / linear race track. Runner A to…

A:

Q: A partice moves along a straight Line with avelocity in mm/s) given by Cal culate the net dis…

A: given:V=400-16t2t=6sec

Q: Given the particle motion: x = 3t^3 + 2t^2 + 3t, where x and t are expressed in meters and seconds,…

A:

Q: Question: A particle P moves along the spiral path r=(10/θ)ft, where θ is in radians. Part C:…

A:

Q: e equation of motion of a particle is s=8t^2+3t-10 where s is in meters and t in seconds. Compute…

A: Given:s=8t2+3t-10

Q: Under what condition is average velocity equal to the average of the object's initial and final…

A:

Q: A particle traveles alonge straight line. It decelerates based on a = (-1.5vi)m/s The particle has…

A:

Q: A person on a skateboard is skating over a circular hill at a constant speed. The skateboard never…

A: Solution:

Q: PROBLEM 2.15 17. The position of a particle moving along the x-axis is given by x = (11 + 14t –…

A: The average velocity during the time interval from t=1.0 sec to t=4.0 sec is 4.0 m/s.

Q: 11. A particle is placed at the point A of a frictionless track ABC as shown in figure (8-W7). It is…

A: Data given-  hA = 1 m  hB = 0.5 m  g = 10 m/s2

Q: The motion of a particle is given by the equation S = 2t^4 −t^3/6+ 2t^2 where S is in feet and t in…

A: Given Data: Time t=2 second

Q: e velocity of a particle which moves along the S-axis is given by V=2 -4t +5t^(3/2) where t is in…

A: Given:V=2-4t+5t32 m/s

Q: If a particle moves with a uniform velocity along a circular path, then the particle has.

A: Answer is c) Centripetal acceleration only

Q: Objects A and B undergo a one-dimensional elastic collision. The initial speed of A is vAi and the…

A: mA=αmB Using conservation of momentum  mAVAi+0=mAVBf+mBVBfαmBVAi=αmBVAf+mBVBfαVAi=αVAf+VBf ....(1)…

Q: An object is traveling along a straight line, and the velocity of the object is defined by v = (30 -…

A: Given Data V=(30-0.03s2) m/s

Q: An object moves along the x-axis according to the equation x (1) =~ 3t +12t 6. where tis in seconds.…

A: Given equation  x(t)=-3t2+12t-6 time interval, 0 to 3sec  Using the v=dx/dt a=dv/dt

Q: Problem 1 A particle moves along the curve x2 = 12y, where x and y are measured in millimeters. The…

A: (1.1) Write the given expression X2=12y and x= 4t2 – 2 Calculate the velocity V= dv/dt = dy*dx/dx*dt…

Q: The normal acceleration of a particle on the rim of a pulley 10 ft in diameter is constant at 8000…

A:

Q: When the 150-lb skier is at point A he has a speed of 5 ft/s. When the skier reaches point B on the…

A:

Q: 11- The sum of the acceleration of particles relative to their center of mass is equal to the…

A: Correct answer for the question : FALSE Explanation: Let us consider two particles freely falling…

Q: Question 14 A car starts from rest and reaches a speed of 20 m/s after traveling 125 m along a…

A: Given data: Car starts from rest means initial velocity is zero that is  u=0 ms Final Velocity…

Q: 1. The position of a particle along a straight line is given by s = (1.5t3 – 13.5t2 + 22.5t), where…

A:

Q: The position of a particle in millimeters is given by s = 57 - 22t + t2 where t is in seconds. Plot…

A: Given data: Position of the particle is given by: s = 57 - 22t + t2 We have to plot the s-t and v-t…

Q: A block moves outward along the slot in the platform with a speed of -= (10t) m/s, where t is in…

A: Given Data  r=10t m/s The magnitude of the velocity at t=1sec is 50.990 m/s

Q: 14. The position x(in meters) of a particle moving along a straight line is given by x = 90( 1-e")…

A:

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.