A particle moving along a straight line is subjected to a deceleration a = -3v3 m/s, where v is in m/ s. If it has a velocity v = 7 m/s and a position s = 9 m when t = 0, determine its velocity and position when t = 5s.

Q: The driver of a car, which is initially at rest at the top A of the grade, releases the brakes and…

A: The velocity at point A is The acceleration is given by

Q: The driver of a car, which is initially at rest at the top A of the grade, releases the brakes and…

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Q: The motion of a particle is governed by the relation a = 4t2 , where a is in m/s2 and t in secs.…

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Q: Q3/ A particle moving along a straight line is subjected to a deceleration a=(-V) m/s, where is V in…

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Q: An automobile starting from rest speeds up to 12 m/s with a constant acceleration of 1.2 m/s2. Runs…

A: GivenV1=0 m/sV2=12m/sa=1.2m/s2V3=12m/sV4=0m/sa=-1.5m/s2d=390m

Q: The particle moves along the s-axis with v = 2+5 i. The acceleration is calculated to be ---- when…

A: Given data: v=2+5tv'=12 m/s Need to determine the acceleration when the velocity is 12 m/s.

Q: The velocity of a particle which moves along the s-axis is given by v = 20 +19+8/7 where t is in…

A: Velocity of a particle is defined as the change of position of the particle with respect to time. It…

Q: A particle moving along a straight line is subjected to a deceleration a=-4v m/s2, where v is in…

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Q: Two particles A and B start from rest at the origin s = 0 and move along a straight line such that…

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Q: For 10 seconds, a race automobile accelerates at a = 5 + 2t m/s2 after starting from a rest. The…

A: Basics of Motion-time study.

Q: Q3/A particle moving along a straight line is subjected to a deceleration a = (- V) m/s², where is V…

A: Given data  a = -V5 m/s2  V =  5 m/s  and  S = 10 m at t = 0   To determine  velocity and position…

Q: The velocity of a particle moving in the x-y plane is given by (7.87i+ 3.51j) m/s at time t = 7.91…

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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: The velocity of a particle traveling along a straight line is v= (312 - 6t) ft/s, where t is in…

A: Given: Velocity of the particle→v=312-6t  fts We know that→v=dsdt Hence:…

Q: Rectilinear Motion: A particle travel in v=(13-4t^2)m/s, where t is in seconds. When t=1s, the…

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

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Q: The velocity of a particle traveling along a straight line is v = (3t2 – 6t) ft/sec, where t is in…

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Q: Particle moving in a straight line has velocity of v = (t^2-6t) m/s, where t is in seconds. What is…

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Q: A particle moving in the x-y plane has a velocity v = 14.49i+3.70j m/s at a certain instant. If the…

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Q: QUESTION 3 A particle is traveling with velocity v=3i+ (6-2t) j. where t in seconds. If x=0 m and…

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Q: The velocity of a particle is v = 200 + 30t 2 + t 4 /2 , where v is in m/s and t is in sec. if the…

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Q: Dynamics: The box, whose size does not matter, slides downward along a curved trajectory defined by…

A: As per given question  Xa=2m Ya=1.6m VB=8m/s Y=0.4x2 We have to Determine the magnitude of the…

Q: At time t = 0, a particle is at rest in the x-y plane at the coordinates (xo, Yo) = (8, 0) in. If…

A: Givenat t=0 , xo,yo=8,0ax=0.53-0.27tay=0.13t-0.04t2when t=6find x,y

Q: Include free body diagrams: The motion of a particle is defined by the relation x = t2  - (t-2)3,…

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Q: A particle moving in the x-y plane has a velocity at time t = 5.92 s given by (3.3i + 6.4j) m/s, and…

A: The velocity at  is The velocity at  is

Q: the position of a particle undergoing rectilinear motion is defined by s=t^3-6t^2-15t+40 where s is…

A: Given: Position s = t^3 - 6t^2 -15t + 40

Q: QI/ A car moves abong a straight line with an accekration ( a = 4V ). When t-0 kcad to S = 0, V = 2,…

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Q: When a particle is constrained to move in a straight line, its position coordinates are given by…

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Q: A freighter is moving at a speed of 8 nautical miles per hour. The engines then had to be suddenly…

A: To Find : The distance moved by the ship and its speed at the end of this interval . Given :  The…

Q: At time t = 0, a particle is at rest in the x-y plane at the coordinates (xo, yo) = (8,0) in. If the…

A: Given data: At t=0 sec,x0,y0=8,0 inax=0.53-0.27t in/s2ay=0.13t-0.04t2 in/s2 Need to determine the…

Q: A particle moving in the x-y plane has a velocity v = 6.82i +3.07j m/s at a certain instant. If the…

A: Write the given data. v=6.82i+3.07j m/sa=0.69j m/s2θ=24°

Q: Two particles P and Q start from rest at the origin s=0 and move along a straight line with…

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Q: The velocity of a particle which moves along the s-axis is given by s˙s˙ = 30 - 5t2 m/s where t is…

A: Introduction: We utilize the basic concepts of speed and velocity to describe the motion of objects…

Q: 2. An unknown particle was observed to be moving on a curvilinear path. The position of the said…

A: Given,   Velocity and acceleration vector can be found by,

Q: A particle moving in the x-y plane has a velocity v = 8.58i +2.14j m/s at a certain instant. If the…

A: Givenv=8.58i+2.14j  m/sa=0.65j m/s2θ=38o

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 velocity of a particle moving in the x-y plane is given by (6.00i + 4.94j) m/s at time t = 5.61…

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Q: The velocity of a particle which moves along the s axis is given by v = 4.1 -2.7t + 3.4t3/2, where t…

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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: ball is thrown so that the motion is defined by the equations - 5t and y-2+ 6- 4.9r, where x and y…

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Q: A particle moves along a path according to the equations      x = 9 - t4/9  and  y = t2/3 where x…

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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.