Find the acceleration of the object. Choose the correct answer. O A. a(t) = vo - g O B. a(t) = gt OC. a(t) = vo O D. a(t) = -g

Q: A particle is moved along the x-axis by a force F (x) = 6x² + 4x - 2. How much work is done in…

A:

Q: You throw a ball (from ground level) of mass 1 kilogram upward with a velocity of v= 35 m/s on Mars,…

A:

Q: recall that g = 9.8 m/s2 = 32 ft/s2 is the acceleration due to gravity on the earth’s surfa One…

A: The baseball follows a projectile motion.Range of the baseball = R = 25mInitial velocity of baseball…

Q: An object has a weight of 60 N at a point where the acceleration due to gravity is g 10 m/s². What…

A:

Q: Find the position and velocity of an object moving along a straight line with the given…

A: Integrate the acceleration and find the velocity.

Q: Two 0.20-kg balls, moving at 4 m/s east, strike a wall. Ball A bounces backwards at the same speed.…

A: Mass = .20kg  Velocity= 4m/s  Momentum= mass × velocity

Q: Find the position and velocity of an object moving along a straight line with the given…

A:

Q: When does the particle move forward? Move backward?Speed up? Slow down?

A: If v>0 then the particle will move forward.  v is greater than 0 for (0,1) and (5,7)    If v<0…

Q: A particle moves along a coordinate axis. Its position at time tis given by s(t) = t – 9t² + 24t +…

A:

Q: Use the given acceleration function and initial conditions to find the velocity vector v(t), and…

A:

Q: Find the position and velocity of an object moving along a straight line with the given…

A:

Q: find the acceleration at t

A: Given: Position function s(t)=5t3-6t2 And t=4 Sec To find: The acceleration.

Q: A particle moves according to a law of motion s = f(t) = t3 - 12t2 + 45t, t  0, where t is measured…

A:

Q: A jet fighter's position on an aircraft carrier's runway was timed during landing as the data table…

A: We are going to solve the given problem by using MATLAB.

Q: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) = and the initial…

A: By using the general formula of Newton's law of motion, we can calculate the position of particle at…

Q: a ms? RN 25 N 45 N 10 kg 15° 10g N

A:

Q: position of a moving object is s (t) = 1³ – 31² - 45t-1. What is its acceleration at t=2?

A: Given query is to find the acceleration at indicated point.

Q: a. What is the unit vector in the direction of steepest ascent at P? (Type exact answers, using…

A: f(x,y)=5x2-y2-7 To find direction of steepest ascent , we find out the gradient of f  at the given…

Q: Solve the problem. Given the velocity and initial position of a body moving along a coordinate line…

A: We can solve the given problem as follows:

Q: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) =, and the initial…

A:

Q: River currents (miles per hour) at a certain location are given below. The current direction at this…

A: First, since the values are all given in MPH you need to convert them into miles per minute. To do…

Q: When is the particle’s acceleration positive? Negative? Zero?

A: From the given figure:

Q: A block of mass m1 = 3.24 kg on a frictionless plane inclined at angle 0 = 30.1° is connected by a…

A: We have to find a and T. The solution is following

Q: For a moving object, the force acting on the object varies directly with the object's acceleration.…

A:

Q: When does the particle move at its greatest speed?

A: From the given graph it is clear that in the interval [1,2] v is negative and decreases also in this…

Q: You throw a ball (from ground level) of mass 1 kilogram upward with a velocity of v = 31 m/s on…

A:

Q: If a ball is thrown straight up 6 feet from the ground with an initial velocity of 90 ft/sec, the…

A:

Q: A comet passing by a star, with initial velocity (30, 60), experiences a force which causes it to…

A:

Q: Find the position and velocity of an object moving along a straight line with the given…

A:

Q: I sneak onto a certain eccentric billionaire's rocket to get a free shuttle to the moon (I also…

A: Question is solved.

Q: A particle is moving according to the given acceleration function a(t) = 12t2 + 6t − 6. If s(0) = 4,…

A:

Q: A tow truck is towing a car. The tension in the tow cable is 1500 N and the cable makes a 45° with…

A:

Q: a. Find the velocity and speed of the object. b. Find the acceleration of the object. 30. r(t) = (…

A:

Q: Elampei et an object moves r(4)= tit12tj+ 3.64 k aspostion@t=2 k) Velocity @ tz/ ) speed d)…

A:

Q: A particle is moved along the r-axis by a force F(x) = 6² + 4x – 2. How much work is done in moving…

A: Work = force*displacment We apply integration on work from lower limit -1 to upper limit 2 Hence…

Q: The impulse's magnitude may find thru the product of , and a. mass, velocity force, displacement C.…

A: The impulse's magnitude may find the product of force and time.

Q: A child wanders slowly down a circular staircase from the top of a tower. With x,y,z in feet and the…

A:

Q: Find the position and velocity of an object moving along a straight line with the given…

A: Our Aim is to find the position and velocity of an object moving along a straight line with the…

Q: Given an acceleration function a(t)=, find velocity and position functions, given that v(0)= and…

A:

Q: Find the position and velocity of an object moving along a straight line with the given…

A:

Q: Calculate the tangential component of acceleration for r(t) = 2ti+t j+t°k. Write your final answer…

A:

Q: Use the function that describes the acceleration of an object that is in motion and the initial…

A:

Q: I got up to:   60-62t, then started doing  30 + the integral from t to 0 but I don’t know if I’m…

A: To find velocity we have to integrate a(t)= -62Answer: Velocity: v(t)=-62t+60

Q: 1. Determine the horizontal and vertical components of acceleration of point B on the rim of the…

A:

Q: For the acceleration ā = and the given initial velocity vo = and the initial position To = find the…

A:

Q: a) Find the average acceleration in the first 3 seconds. b) The particle changes direction twice.…

A: Here I am providing my handwritten solution.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.