Problem 2: The position of a particle is given by the following expression, where t is time measured in seconds: r(t) = [(3.65 m/s²)r²]į+ (-4.23 m)j + [(4.48 m/s³)r³]k. Part (a) What is the magnitude of the velocity of the particle, in m/s, at t = 0.00 s? Part (b) What is the magnitude of the velocity of the particle, in m/s, at t = 1.65 s? Part (c) What angle, in degrees, does the velocity of the particle make with the +z axis at t = 1.65 s? Part (d) What is the magnitude of the average velocity, in m/s, between t = 0.00 s and t = 1.65 s? Part (e) What angle, in degrees, does the average velocity between t = 0.00 s and t = 1.65 s make with the z axis?

Q: A squirrel has x- and y- coordinates (-2.0m, 4.2 m) at time t = 0 and coordinates (4.4 m, -1.8 m) at…

A:

Q: A squirrel has x- and y-coordinates (1.1 m, 3.4 m) at time t, = 0 and coordinates (5.3 m, -0.5 m) at…

A: Given: The initial coordinate of the squirrel is (1.1 m, 3.4 m). The time is t1=0. The final…

Q: The position of a particle moving in the xy plane varies with time, and its coordinates are given by…

A:

Q: An aircraft (A) is climbing along the straight trajectory ("dotted line") as shown in Fig.1. Q1. At…

A:

Q: A classic physics problem states that if a projectile is shot vertically up into the air with an…

A:

Q: The 18th hole at Pebble Beach Golf Course is a dogleg to the left of length 496.0 m. The fairway off…

A: Solution: Given that golfer hits his tee shot a distance of 200 m, corresponding to a displacemen…

Q: Suppose the position vector for a particle is given as a function of time by r(t) = x(t)î + y(t)j,…

A:

Q: Over a short interval, starting at time t = 0.0 s, the coordinate of an automobile in meters is…

A: Given: An automobiles starting from t=0.0 s.  The Coordinates of automobile x(t) = 27t – 4.0t2 To…

Q: The velocity of a particle is given by v = {16t²i + 4t³j + (5t +2)k}m/s, where t is in seconds. If…

A:

Q: 8. At t = 0, a ball moving in two-dimensions with constant acceleration has a velocity of vi = (3.00…

A: (a) The acceleration of the ball in component form is, a→=∆v→∆t=v2→-v1→t2-t1=9.00i^+7.00j^…

Q: A particle starts from the origin at t = 0 with velocity of 4.5} and moves in the xy plane with a…

A:

Q: The velocity of an object is given by the expression v(t) = 3.00 m/s + (3.00 m/s3)t 2, where t is in…

A: Given:velocity of an object is given by the expression v(t) = 3.00 m/s + (3.00 m/s3)t2  located at x…

Q: An object travels 3 m east and 4 meters south in 7 seconds, what is the magnitude of the average…

A: Given data:  Object travels 3 m East then 4 m South Time (t) = 7 s Required: The magnitude of…

Q: The position vector of a particle is given by r (t+1)1 + (t°+1)} m, where t is measured in s. What…

A:

Q: A web page designer creates an animation in which a dot on a computer screen has position r=[4…

A:

Q: A man walks 3.55 km south and then 2.75 km east, all in 3.40 hours. (a) What is the magnitude (in…

A: Draw the position diagram for the man as shown below.

Q: A man walks 3.55 km south and then 2.75 km east, all in 3.40 hours. (a) What is the magnitude (in…

A: The time taken to cover the distances is  t=3.40 hrs. The figure represents the given condition.

Q: A dog running in an open field has components of velocity vz = 2.0 m/s and vy = -1.8 m/s at time t =…

A: vx = 2 msvy= -1.8 mst1 = 10 s t2 = 21 s a = 0.50 ms2 in a direction 31o measured from + x axis…

Q: Over a short interval, starting at time t = 0, the coordinate of an automobile in meters is given by…

A: The  veocity is the rate of change of the position with respect to time. ∴ V=dxdt and the…

Q: 1. A particle initially located at the origin has a constant acceleration of a = 3.00j m/s and an…

A: Given data The magnitude of the constant acceleration is a = 3 j m/s2 The initial velocity of the…

Q: The position of a particle moves in xy-plane is given by : 7 = 5t'i +tj, What is the magnitude of…

A: Position vector of a particle in 2-d,  r = 5t2 i + t3 j (Bold letters denote vectors)  (t = time)…

Q: (4) average velocity of the particle is half its final velocity (17. The displacement of a particle…

A:

Q: The position  r→ of a particle moving in an xy plane is given by…

A:

Q: Each of four particles move along an x axis. Their coordinates (in meters) as functions of time (in…

A: Given data: The coordinates as functions of time are given particle 1: x(t) = 3.5 – 2.7t3 particle…

Q: At t = 0 the coordinates of a particle are x = 0, y = 2.10 m. At a time 1.05 s later, its…

A:

Q: 2.57 • CALC The position of a particle between t = 0 and t = 2.00 s is given by x(t) = (3.00 m/s³)r³…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The two-dimensional position vector of a particle as a function of time is given to be ř(t) = [2 m +…

A: Hey, there are multiple subparts questions posted; we will answer first three parts. If you want any…

Q: The coordinates of a particle moving in the XY plane are given as function of time by: X = 3m + ( 4…

A:

Q: Vectors A= 1.00i -2.00j and B=3.00i +4.00j what are the magnitude and direction of vector C=A+B ?

A: as per guidelines I m solving the first one   what are the magnitude and direction of vector C=A+B ?…

Q: A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0s, the x…

A: Write a given values of this question. v0x=+1.4m/sax=+7.5m/s2v0y=+9.2m/say=-6.4m/s2t=0.50s

Q: A particle starts from the origin of a three-dimensional coordinate system and undergoes two…

A:

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

A:

Q: The coordinates (in meters) of a rabbit’s position as functions of time t (in seconds) are given by:…

A:

Q: A particle leaves the origin with an initial velocity V = (7.32i) m/s and a constant acceleration a…

A: Initial positon of particle = (0,0) m initial velocity (v→) = 7.32i^ m/s Acceleration (a→) = -2.28i^…

Q: A particle’s velocity along the x-axis is described by v(x) = A x + B x2, where x is in meters, v is…

A:

Q: The velocity of a particle (in meters per second) is given by v = 16t²i + 4t³ j + (5t + 2)k, where t…

A: Acceleration is given by rate change of velocity.  a = dv/dt v = 16t2 i + 4t3 j + (5t+2) k dv/dt =…

Q: A rabbit runs across a parking lot on which a set of coordinate axis has been drawn. The coordinates…

A:

Q: The velocity of a particle moving in thex-y plane is given by (4.03i + 7.36j) m/s at time t = 3.64…

A:

Q: A particle travels along a straight-line path y = 0.7x. If the x component of the particle's…

A:

Q: A particle moving along the x axis has a position given by x = (24t – 2.0r) m, where t is in s. What…

A: The rate of change of position is called velocity.  The rate of change of velocity is called…

Q: 3.2 A rhinoceros is at the origin of coordinates at time t1=0t1=0. For the time interval from…

A:

Projectile Motion