The car moves in a straight line such that for a short time its velocity is defined by v = (3t2 + 2t) ft/s, where t is in seconds. Determine its position and acceleration when t = 3 sec. When t = 0, s = 0.

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A: Introduction: Motion is the condition of change in an object's location over time. Displacement,…

Q: F12-12. The sports car travels along a straight road such that its acceleration is described by the…

A: Given data:- The sport car travels along straight line. Determine:- The velocity of the car when s =…

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Q: The acceleration of a rocket travelling upward is given by a = (6 +0.02s) m/s², where s is Determine…

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Q: The positions of a particle along a straight line is given by s= 8e-0.4t - 6t + t2, where s is in…

A: Given:s=8e-0.4t-6t+t2a=3 m/s2Find: The velocity v.

Q: The a-t graph of the bullet train is shown below. If the train starts from rest, determine the…

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Q: Q3/ A car is moving along a straight line with the acceleration a- (12t- 3t) mis', where t is in…

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Q: The car is traveling along the road with a speed of v = (x/s) m/s, where x is a constant and s is in…

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Q: Determine the acceleration when t=1 s if v = (4f² +2) m/s, where t is in seconds. v =(4 f + 2) m/s 6…

A: Given data

Q: = 12 m/s to the right at t = 0 and a constant acceleration of Block A has VA 3 m/s² to the left.…

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Q: A vehicle moves in a straight line such that for a short time its velocity is defined by v-(0.9²…

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Q: F12-7. A particle moves along a straight line such that its acceleration is a = (4r² − 2) m/s²,…

A: To find: The position of the particle when t=4 sec. Given: The acceleration is a=4t2-2 msec2. If t=0…

Q: The velocity of a particle along the s-axis is given by v = 8s9/8 where s is in millimeters and v is…

A: GIVEN DATA Velocity v=8*s98 We have to calculate acceleration at s=3.9mm   Concept If s=displacement…

Q: The velocity of a particle which moves along the s-axis is given by v = 17 + 2t7/6 where t is in…

A: Velocity, V=17+2t7/6at t=0; s=0t=5.1 s

Q: 5. A particle moves in the x - y plane such that its position is defined by Ỹ = (3t² i +8tj) ft,…

A: The position of the particle is .The time is .

Q: Q3/ A car is moving along a straight line with the acceleration a= (12t- 3t) m/s, where t is in…

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Q: The sprinter begins from rest at position A and accelerates along the track. If the stationary…

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Q: Q2/The acceleration of a particle is given by a = 3t-30, where a is in meters per second squared and…

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Q: A train starts from rest at a station and travels with a constant acceleration of 1 m/sec2.…

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Q: The velocity of a point mass moving on a curve is v=21+ (2t +20). Determine the equation of the path…

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Q: 10) The motorcycle is traveling at 1 m/s when it is at A. If the speed is then increased a v = 0.1…

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Q: When t = 0, the train has a speed of 4 m/s, which is increasing at 0.25 m/s2. Determine the…

A: The given data are: vi=4 m/sa=0.25 m/s2t=15 sρA=300 m Here, vi denotes the initial speed, a denotes…

Q: The car starts and travels with the speed showa hy the e-f graph. Determine the aceleration and…

A: Displacement of an object is defined as the shortest possible change in the position of an object in…

Q: Q) calculate the magnitude of The force P ? Wz 6 KN A M=02 Im トーon 16 KN

A: This question is related to the static equilibrium equations.  As we know the condition equation, we…

Q: roblem 1. An object with a mass of 200 kg is attached to a ope wound around a pulley which is…

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Q: F12-7. A particle moves along a straight line such that its acceleration is a = (41² – 2) m/s²,…

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Q: 3. A particle travels along a straight line with a velocity v= (12 - 21°) m/s, where t is in…

A: Given that, Velocity of particel, V=12-2t3Dispalcement, s=-10 m, when t=1 sec, The velocity is given…

Q: Calculate -6 -3 L 14ft Litla -6ft Answer: 14ft -6ft a dx. a, ft/sec² 7 0 0 adx- i x, ft 8 11 14…

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Q: In figure below compute the net force exerted on the hemispherical shape located at the bottom of…

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Q: Q2/ The acceleration of a particle is given by a = 3t-30, where a is in meters per second squared…

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Q: Car A rounds a curve of 172-m radius at a constant speed of 37 km/h. At the instant represented, car…

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Q: The velocity of a particle along the s-axis is given by v = 8s8/7 where s is in millimeters and v is…

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Q: A particle is constrained to travel along the path. If x = (4t4) m, where t is in seconds, determine…

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Q: Starting from rest the motorboat travels around the circular path with radius of curvature 50 m, at…

A: Given:r=50 mv=0.8t m/sS=20 m

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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.