. A particle moving in space has a position at any time t, given by «(t) = (2t° + 1)i + ti-(+3¢)k at time t=1 determine i. The velocity 1 The speed i. The acceleration and its magnitude of the particle

Q: 2. If the acceleration function of a certain particle is given by a(t) the velocity function…

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Q: Suppose the position function for a free-falling object on a certain planet is given by s(1) =-…

A: Given: st=-14t2+v0t+s0

Q: Two particles A and B, of masses 0-3 kg and 0-7 kg, are moving towards each other on a smooth…

A: In this question, we have to find the two values of U by using conservation of linear momentum i.e.…

Q: 4) a²y=+52y =14 yat (2,1) Find equátion of tangent?

A: Equation of tangent  y-y1=m(x-x1) (x1,y1)are the points at which equation of tangent is to be…

Q: The coordinates of a particle in the metric xy-plane are differentiable functions of time t with…

A: The distance of a point (x, y) and the origin can be calculated as follows.

Q: Suppose a particle has velocity given by v(t)=sin(t). What is the net displacement of the particle…

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Q: 3. A tiny organism begins to move in a straight line with velocity v(t) = t(t – 1)'/3 microns per…

A: Let the expression for the velocity is v(t)=t(t2-1)1/3. Integrate the expression to find the…

Q: 9.Show that the period of motion of an undamped vibration of a mass hanging from a vertical spring…

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Q: 6. An object is thrown vertically upward from the ground with an initial velocity of 1960 cm/sec.…

A: GIVEN - INITIAL VELOCITY =1960cm/sec = 19.6 m/sec  HINT -USE NEWTON LAWS  TO FIND - maximum height…

Q: A 5-kg mass is attached to a spring whose stiffness constant is 80 N/m. The damping is negligible.…

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Q: A particle moves along a coordinate line in such a way that its velocity at any time t is given by…

A: We have, a particle moves along a co-ordinate line in such a way that its velocity at any time t is…

Q: 1.)Supposed that a mass weighing 10 lbs. stretches a spring 2 inches. If the mass is displaced…

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Q: A pendulum consists of a 3.5 kg stone swinging on a 4.1 m string of negligible mass. The stone has a…

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Q: Suppose that the velocity of a falling body is y = k√s m/sec (k a constant) at the instant the body…

A: The velocity (y) of a falling body is  where k is a constant and s is the function that represents…

Q: A particle starts moving from the origin with the velocity v(t)=⟨4t,3t2−1⟩, where t is measured in…

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Q: Suppose a particle begins to move from the origin (t = 0) following the curve in space r(t)= (5sint,…

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Q: 3- If a ball v leased to fall at t=0 sec according to the law S =;gt where g is the acceleration due…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: A wheel starts from rest and rotates about a fixed axis with a constant angular acceleration of 4.6…

A: Use the circular motion equation, ω=ωo+αt      where ω=final angular velocityωo=initial angular…

Q: A particle moves along the x-axis with velocity given by v(t) = 6t2 at time t = 0, what is the…

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Q: 2. A plane travels 560 km from Los Angeles to San Francisco in 1 hour (h). If the plane's velocity…

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Q: 6. A soccer ball is kicked at an angle of 60 from the ground. If the velocity of the ball is 110…

A: Consider the given angle as 60°

Q: When a particle is located a distance of x metres from the origin, a force of cos(x) Newtons acts…

A: The given question can be solved as shown in step2.

Q: 2. A particle starting with velocity u is falling freely under gravity with a constant acceleration.…

A: Introduction :

Q: Ex. 2. Prove thät if two equal and perfectly elastic balls moving in the same direction collide…

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Q: When two particles start at the origin with velocities v(t)=cost and u(t)=sin2t, how many times in…

A: We set the equations equal and solve for t

Q: A particle moves in a straight line from the origin (at t= 0) with given initial velocity u, and…

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Q: 14. In the theory of relativity, the mass of a particle with velocity v is то m where m, is the mass…

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Q: 2. Assume Barry Bonds's head is a perfect sphere. If Dr. Beeresgood measures Barry's head's radius…

A: Given: r=5.8 in∆r=±0.021 in

Q: Use a linear approximation (or differentials) to estimate the given number.   27.tan 2°

A: The Linear approximation of the function at x=a is given by L(x)=f(a)+f'(a)(x-a) To Find Linear…

Q: Two particles have positions at timet given by the equations x, =t -t and x, =6t2 -t°. Find the…

A: Given two position functions x1=t3-t and x2=6t2-t3 as a function of time t To find the velocities…

Q: When a particle of mass m is at (x, 0), it is attracted toward the origin with a force whose…

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Q: 3. Find tangent line to x = 2 cot 0 y = 2 sin? 0 at 0 = t/4

A: First  differentiate  and find slope use equation of tangent line

Q: When a particle is located a distance meters from the origin,a force of cos  ( pie x / 3 )newtons…

A: Given: To find the work done by a particle when moving from x = 1 to x = 2, the formula is given…

Q: 4. A cannonball of mass 1kg is shot vertically upward from the top of a building with an unknown…

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Q: A baseball is thrown from the stands 25 ft above the field at an angle of 40" up from the horzontal.…

A: Given that a baseball is thrown in projectile motion from the stand of height 25ft. at an angle with…

Q: 8. Consider an object moving along a line with velocity v(t) = 6t2 - 12t with t measured in seconds…

A:

Q: Suppose a particle has velocity given by v(t) = sin(t). What is the net displacement of the particle…

A: GIVEN DATA : Velocity of  the particle v(t)=sin(t)        TO FIND : Displace of the particle on 0,…

Q: Suppose that a particle moves along a straight line with acceleration defined by a(t) = t – 5/2 in…

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Q: A 0.5 kg mass is attached to a spring having a spring constant of 8 N/m. The mass is set into motion…

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Q: Suppose that a particle moves along a straight line with velocity - cos(t/2), sin(t/3), te [0, T], t…

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Q: 7. The escape velocity from a planet of radius R is v(R) = and M is the mass. Find the inverse of…

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Q: A particle moves on the 0x axis with acceleration proportional to velocity. Assuming that v(0) = 3,…

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Q: 7. If the acceleration of a particle is given by ä = sinti+ cost j+e K, find theelty and position…

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Q: A string of length 27 m has both ends free. Initially the string has a vertical displacement of the…

A: The complete solutions are given below

Q: body mass 4 kg falls(at rest) from a medium whose resisting force is numerically equal to 0.003v,…

A: Topic:- Basic maths

Q: 1. A particle moving along in a straight line with a uniform acceleration covers 72 cm displacement…

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Q: A constant horizontal force of 21 N pushes a 5 kg-mass through a medium that resists its motion with…

A: Since force is 21N , and ,mass is 5kgso, acceleration by the force is 215. There is an opposing…