The equations of motion of some particle are given as: 4 t +1 y = -4t - 4 z = 2t +2 where x, y and z are measured in inches, and t is measured in seconds. 1) Find the equation of the particles' trajectory on the coordinate form. 2) Find the velocity of the particle 3) Find the normal, tangential, and full acceleration of the particle

Q: Four vectors of magnitude 1.0, 2.0, 3.0, and 4.0 units lie in the north, east, south, and west…

A: four vectors of magnitude 1 , 2, 3 and 4  units lie in the north , east, south and west directions

Q: A robot has been designed and is tested on the course above (A-B-C-D-E). If the robot takes 3.4…

A: Required to find the average speed of the robot.

Q: Find the speed and direction of an object with v,= 2.0 cm/s and vy= 3.0 cm/s. O 3.6 cm/s, 56° from…

A: Given data: Vx = 2.0 cm/s Vy = 3.0 cm/s Required:  The speed and direction of the object

Q: You are exploring a planet and drop a small rock from the edge of a cliff. In coordinates where the…

A: The slope of the graph where t² is along y axis and (y-y0) is along x axis is  Slope = 0.900 s²/m

Q: The planet earth orbits the sun with a period of one year. In this problem, you may assume the…

A: Given Radius of earth's orbit R=1.5×108 km

Q: You walk in the direction of the unit vector (1, 0, 0) a distance of 24 m at a constant speed of 3.0…

A:

Q: The average distance from Earth to the Sun is about 100 million miles. and the magnitude of the…

A: Given value--- average distance between earth and sun = 100 million Earth.  speed of light = 3 ×…

Q: A race car is traveling with a uniform speed on a circular track with an 81 m diameter. When viewed…

A: For determine the magnitude of the velocity, we can use the equation for centripetal acceleration: a…

Q: 6. One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of…

A: Given:-  A couple walks three-fourths of the way around a circular lake. The radius of the circular…

Q: A spaceship is traveling through deep space towards a space station and needs to make a course…

A: first leg of motion (A→) = 1.7×106 km , towards east second leg of motion (B→) = 1.3×106 km , at an…

Q: . Position vectors of two particles, A and B are given: A = 3i + 4j + 5k meters B = -4i + 2j - 7k…

A:

Q: 7. A swimmer able to swim at 2.0 m/sec wants to cross a 100. m wide river that flows at 1.2 m/sec.…

A: Motion is relative to the observer a stationary observer will measure a different speed than someone…

Q: Ex 3:- r(1) is the position of a particle in space at time t. Find the particle's velocity and…

A:

Q: For plane curvilinear motion with the displacement, r, expressed in polar coordinates as r = re,…

A:

Q: E- 17 k4, E 27 N T: 25 kH 32° N oF W

A: Given, C→=25kN at an agngle of 320 from N of WE→=17 kN at an angle of 270 from E of N Therefore the…

Q: A particle moves along a curve whose parametric equations are x = 3e-#, y = 4 sin 3t, z = 5 cos 3t…

A:

Q: 1. The eye of a hurricane passes over Grand Bahama Island in a direction 30.0° north of west with a…

A: Please note : As per answering guidelines I can answer the first three parts of a multisub-part…

Q: let the body be projected upward with initial speed vO, so that the maximum height on Earth will be…

A: RecallVf2=Vi2-2ahwhere a is acceleration due to gravity. Vf=0 for maximam height.

Q: Let E= 11 +13 and F-21-3j. ▼ Part C Find the magnitude of G = E + F. ► View Available Hint(s) G= —|…

A: Given Data: Vector E→=1i^+1j^ Vector F→=2i^-3j^ Vector -E→=-1i^+(-1)j^ Vector 2F→=4i^-6j^

Q: Using the table above, Plot the: a. Maximum range of the projectile as a function of the projection…

A: (a) Maximum range of the projectile as a function of the projection angle

Q: 4. The position of an object in three dimensions as a function of time is given by 7 = (at? + bt)î +…

A:

Q: At t = 0 an object starts from the origin and moves with a constant acceleration of a = ( − 4.72 –…

A:

Q: A particle's position as a function of time is given by F= (6.08m + 1.01프2)i+(-5.52프t+0.722 +1.01e)…

A:

Q: The position of Sarah is given by =

A: This question contains mathematical tools to fid azimuthal angle or displacement.

Q: 2. For the vectors C and D at the right, the difference vector D - C points in the direction up and…

A: The direction of vector C is in an upward direction.

Q: 1. Consider two vectors Ā = (4i+4 j) cm and B = (-2i + 3j) cm. Use the equation for the magnitude of…

A: In this case, there are two vectors are given in the vector form. A vector has magnitude as well as…

Q: You have measured the position as a function of time of four particles as they move along the…

A: The given values are, ∆x1=2.7t3∆x2=2.7t3-2.8t2+3.4t∆x3=2.7t2∆x4=-3.4t-2.7t2

Q: A Space-X shuttle is fired from its launch pad at x = 0 and travels along a path described by…

A: Given: Space shuttle launch from, x=0 Equation of the path followed, y2=120000x x- component of the…

Q: A planet or asteroid orbits the Sun in an elliptical path'. The diagram shows two points of…

A: Given: The speed of the asteroid at the aphelion is 900 ms-1. The distance from the sun at aphelion…

Q: Suppose we are told that the acceleration a of a particle moving with uniform speed v in a circle of…

A: According to question acceleration (a) = k * rn * vm where k is a dimensionless constant of…

Q: A ball is moving along a circular track. What can be said about the orientation of the velocity and…

A: Solution: Consider a ball moving along a circular track as shown in the figure below:…

Q: What are scalars vs vectors in physics? Position, velocity, and acceleration vectors?

A:

Q: Question: The position of an object moving along the x-axis is given by x = 5.0 - 4.0t + 2.0t² How…

A: Given: The position function of an object with time is x=5-4t+2t2.

Q: The differential displacement in the spherical coordinate system is dl = dpap + døaø + dzaz True…

A:

Q: The path of a projectile fired at an angle of 30.° above the horizontal is best described as (1)…

A:

Q: A boat is crossing the river. By making angle theta = 25 degree with North direction as shown in the…

A: According to the given data Velocity of the boat with respect to river =Vbr= 3m/s angle = 25 deg we…

Q: The system of equations is now (2) mag cos 0+T=m₁a2 (4) 3m19-T-3m1a2 where g = 9.80 meter/second², 0…

A: