When t = 0, the train has a speed of 4 m/s, which is increasing at 0.25 m/s2. Determine the magnitude of the acceleration of the engine when it reaches point A, at t = 15 s. Here the radius of curvature of the tracks is ρA = 300 m.

Q: The car starts from rest at s = 0 and increases its speed at at = 4 m/s2. Determine the time when…

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

Q: A driver finds that her car will descend the slope θ1 = 3.3° at a certain constant speed with no…

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Q: A car is traveling around a circular track of 630-ft radius. If the magnitude of its total…

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Q: The car C increases its speed at the constant rate of 1.8 m/s? as it rounds the curve shown. If the…

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Q: passes point A with a speed of 20 m/s and begins to increase its speed at a constant rate of a_t =…

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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: A car is traveling around a circular track of 840-ft radius. If the magnitude of its total…

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Q: The box slides down the slope described by the equation y = (0.05x^2) m, where x is in meters. If…

A: This question is based on the concept of kinematics.

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: A helicopter starts from rest at point A and travels along the straight-line path with a constant…

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Q: The motorcycle is traveling at a constant speed of 60 km/h. Determine the magnitude of its…

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Q: Car A is traveling at the constant speed of 48 km/h as it rounds the circular curve of 295-m radius…

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Q: When a small boat travels north at 5 km/h, a flag mounted on its stern forms an angle 0= 50° with…

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Q: The velocity of a particle travelling in a straight line is given by V = 6t-3ť. If s =0 when t = 0.…

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Q: A driver finds that her car will descend the slope e1=3.0° at a certain constant speed with no…

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Q: B- The velocity of a body at time t sec is v = 2t³ – 9t2 + 12t –5 m/. Find the body's speed and the…

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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: Car A is traveling at the constant speed of 66 km/h as it rounds the circular curve of 205-m radius…

A: Given data Velocity of car A = 66 km/hr = 66*518 m/s = 18.34 m/s Velocity of car B = 82 km/hr =…

Q: At the instant shown, pin A has a velocity of vA = 2i-4j m. Determine the magnitude of the velocity…

A: For solution refer below images.

Q: If the car passes point A with a speed of 15 m/s and begins to increase its speed at a constant rate…

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Q: Car A is traveling at the constant speed of 58 km/h as it rounds the circular curve of 350-m radius…

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Q: The collars ܣ and ܤ are joined by the 8-in. bar. Given that Va=0.3 m/s and aA= −0.6 m/s^2 when…

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Q: The angular acceleration of the disk is defined by a =(3r²+ 12) rad/s², where t is in seconds. If…

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Q: The rod OA rotates in the horizontal plane such that = 0.26t³ radian, and collar B is sliding…

A: Given: Let us consider the given data, Angular displacement, θ=0.26t3 Radial distance, r=35t2 To…

Q: The distance y = 2.8 m. Find the upward velocity of A if the downward velocity of B is 3.8 m/s.…

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Q: the values of ṙ and θ as measured by an observer in car B.

A: Given: r= 300 m theta= 45 v= 60 kmph To determine: The values of r˙, θ and θ˙

Q: A train travels at v = 60(1-e¹) ft/s. Determine the acceleration in 3 s.

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Q: A boat is traveling along a circular curve having a radius of 100 ft. If its speed at t = 0 is 20…

A: Answer: The magnitude of the acceleration at that instant is 8.1358 ft/s2.

Q: A car is traveling around a circular track of 760-ft radius. If the magnitude of its total…

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Q: The box slides down the slope described by the equation y = (0.05x^2) m, where x=86 is in meters. If…

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Q: defined by v=(25-0.15s) m/s where s is the distance traveled by the car measured from point A. (a)…

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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: If at the instant shown the speed of the collar C is 2.0 m/s upwards, determine the speed of point…

A: GIven data as per question  the speed of the collar C = 2.0 m/s  r1= 0.289 m r2= 0.383 m r3= 0.220 m…

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: es point A with a speed of 30 m/s and begins to decrease its speed at a constant rage of at=-0.25…

A: Given: initial velocity, u=30 m/s acceleration, a=-0.25 m/s2 Distance between A and B, SAB=412 m

Q: The car A has a forward speed of 22 km/h and is accelerating at 3.1 m/s². Determine the velocity and…

A: Given data: vA=22 km/s=6.11 m/saA=3.1 m/s2ω=3.1 rev/min=0.325 rad/s Need to determine the relative…

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

Q: A block moves outward along the slot in the platform with a speed of r = (4t) m/s, where t is in…

A: Radial velocity and transverse velocity: A velocity is called radial velocity when it is acting in…

Q: The car Cincreases its speed at the constant rate of 1.49 m/s² as it rounds the curve shown. If the…

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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.