Starting from x= 0 with no initial velocity, a particle is given an acceleration a = 0.8 Vv² + 49, where a and vare expressed in ft/s² and f's, respectively. Required information Determine the speed of the particle when x = 42 ft. The speed is ft/s.

Q: A particle is moving along a straight line and its acceleration in m/s 2 is given by: a = 6t−18. The…

A: Given:a=6t-18u=15 m/s

Q: The velocity of a particle moving in the x-y plane is given by (3.46i + 7.64j) m/s at time t = 4.88…

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Q: Starting from x=0 with an initial velocity, a particle is given an acceleration a=0.1(v2 +16)1/2,…

A:

Q: In 1.0 s, a particle goes from point A to B, moving in a semicircle of radius 1.0 m. The magnitude…

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Q: 4. A particle accelerates according to the relation a = 3e¬0.2t a and t are expressed in ft/s? and…

A: Given: The acceleration of particle is a=3e-0.2t. Explanation: The acceleration is first…

Q: The acceleration of a particle moving horizontally under rectilinear motion is defined by the…

A: Find the position of particle at t = 3.6 sec.

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 velocity of a particle which moves along the s axis is given by v = 4.6 -3.9t + 5.6t5/2, where t…

A:

Q: The equation of motion of a particle is s=2t^3-7t^2+4t+1, where s is in meters and t is in seconds.…

A: Given data:- The equation of motion of a particle is s=2t3-7t2+4t+1 To find:- the velocity and…

Q: The range R, or the maximum horizontal distance, of a projectile on level ground launched at an…

A:

Q: Q.4 The position of a particle is given by s=2t^3-40t^2+200t-50 , where s is in meters and t is in…

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Q: The acceleration of a particle is given by a = (6t-3) m/s², where t is in seconds. Assume the…

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Q: The acceleration of a particle traveling along a straight line is a = ¼ s1/2 m/s2 ,where s is in…

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: The acceleration of a particle traveling along a 1 straight line is a =;s/2 m/s², where s is in %3D…

A: Given data: Acceleration of the particle a=12s12 m/s2 When t = 0 s v = 0 and s = 1 m Need to…

Q: - The rectangular coordinates of a particle which moves with curvilinear motion are given by x =…

A: Givenx=10.75t+2.25t2-0.45t3y=6.90+17.43t-2.62t2t=8sθ=30o

Q: The position coordinațe (distance) of a particle moves along a straight line is en by the relation […

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Q: A car travelling between two places 2.5 km apart is uniformly accelerated for the first 10 seconds,…

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Q: Q/The motion of a particle is defined by the relation x=t3-9t2+24t-8 where x and t are expressed in…

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Q: The velocity of a particle which moves along the s axis is given by v = 7.5 -3.8t + 5.4t4/2, where t…

A: Derivate of velocity with respect to time is known as acceleration of object.

Q: Given: The particle travels along the path y = 0.5 x². When t = 0, x = y = z= 0. %3D Find: The…

A: Given Data  y=0.5x2. when t=0, x=y=z=0 t=1sec,   Vx = 5t   m/s

Q: Q8: The acceleration of a particle as it moving along a straight line is given by a = 2t2-1 m/s².…

A: Given Data: The acceleration of the particle is a=2t2-1 m/s2 At t=0 s =1 m and v=2 m/s. From…

Q: The velocity of a particle moving in the x-y plane is given by (3.46i +7.64j) m/s at time t = 4.88…

A: Given: a = (2.1i + 2j) m/s t = 4.91 s Answer: angle = 21.81 deg

Q: A particle moves with SHM between two points which are 8.8 cm apart. At the instant when the…

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Q: The curvilinear motion of a particle is governed by the polar coordinates r = t³/3 and 0 = 2 cos…

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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…

A: The trajectory of particle is At The particle velocity alonmg x axis is

Q: What would the speed and acceleration of the particle be if, instead of this path, the path were…

A: The radial displacement is The angular displacement is And at the instant

Q: The rectangular coordinates of a particle which moves with curvilinear motion are given by x=…

A:

Q: The velocity of a particle which moves along the s axis is given by v = 4.5 -3.1t + 5.9t4/2, where t…

A:

Q: Q15. The acceleration of a particle traveling along a straight line is a = (-C.v³) m/s² where Cis a…

A: Given data:- a=-C.v3 C=1.6, v0=8 m/s, v1=0.7m/s and s0=8m To find :-final particle's position…

Q: The velocity of a particle moving in the x-y plane is given by (3.46i + 7.64j) m/s at time t = 4.88…

A:

Q: Q2) The acceleration of a particle as it moves along a straight line is given by a = 2t - 1. and v =…

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Q: A particle is moving along a straight line with an initial velocity of 6 m/s when it is subjected to…

A: The position of the particle defines its placement and when the expression of the position is…

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: The motion of a particle is defined by the relation x = t²(t-3) ³ where x and t are expressed in…

A: (a) To find: The time when the acceleration is zero. Given: The motion of particle is defined as…

Q: SHOW COMPLETE SOLUTION. The acceleration of a particle along a straight line is given by the…

A:

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: The acceleration of a particle moving along a straight line is given by a = 6t where a is in m/s^2…

A: Given A=6t m/s2 To find Distance traveled after 5 sec Since the particles is travelling along 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.