how do i draw the next velocity vector v⃗2v→2 if the acceleration vector a⃗a→ at dot 2 points up.

Q: What is the resultant velocity of a point of x-component Vx= t^3-1, and y-component Vy = t^2 - t at…

A: Given : Vx = t3 - 1 Vy = t2 - t t = 4

Q: A jogger runs 4.00 m 40° N of E, 2.00 m east, 5.20 m 30° S of W, 6.50 m  S, and then collapses. Find…

A: find the attached solution

Q: The motion of a particle moving in a curved path is defined by the equationsv, = 9 – 3t + 0.6t²; vy…

A:

Q: Consider the following 3D trajectory: p(t) k = sin(2t) i+ 3 cos(t) j + 2n a. Calculate the position…

A:

Q: In a projectile motion, is the range of a projectile directly proportional to its initial velocity…

A: From the expression of range  R =( Vi cosθ) t Where Vi cosθ is the x component of initial velocity.

Q: A particle moving vertically according to the equation of motion s(t) = gt + bt, where b > 0 and g…

A:

Q: In a symmetrical projectile motion where the projectile with velocity V, launched at angle O…

A: resolving the velocity in horizontal and vertical direction  In vertical direction velocity is…

Q: A body moves in space , the location vector r 2 = 2t i +tj +2 k m, How much the velocity of it at 2…

A: Given: The location vector (r→) is 2t2i^+tj^+2k^ m. Introduction: The velocity (v) of an object is…

Q: If the x and y components of a particle's velocity are vy = 32t m/s and vy = 8 m/s, determine the…

A: Given data :- x component velocity dx/dt = vx = 32.t m/s y component velocity dy/dt = vy = 8 m/s…

Q: A particle moves in the xy plane starting from time =0 second and position (Im, 2m) with a velocity…

A: (a) The initial position (x1,y1) is (1m,2m) at time t =0. Consider the position of the particle at…

Q: The position of a particle as a function of tin is the average velocity of the particle betwe-

A:

Q: 3.6.15 Suppose the position of an object moving horizontally after t seconds is given by the…

A:

Q: A particle moves from left to right along the parabola y =x^2 with constant speed 5. Find the…

A:

Q: It is derived that the range for a projectile motion in special case is given as R = () sin(20).…

A:

Q: A particle is moving along a line in such a way that v centimeters per second is the velocity of the…

A: Since v = ds/dt => s = ∫vdt = ∫8π cos(4πt) dt = 8π [(sin(4πt))/4π] + c = 2sin(4πt) + c Now using…

Q: The height of an object as a function of time is given by y(t) = A cos(wt + to) + B, %3D where A =…

A: Please see the answer below

Q: Which of the following is equal to the magnitude of the position vector r of a particle? Select the…

A:

Q: A particle move through 3-space in such away that it's velocity is v(t) = i + tj +t²k Find the…

A: Velocity vector V(t) : It is a vector which gives information about the velocity in x, y and z axis…

Q: For circular motion, which of the following is equal to 0? Select the correct response: transverse…

A:

Q: After firing an object at any angle between 0 and 90 degrees, the x component of the final velocity…

A:

Q: Find the position function of a particle moving along a coordinate line that satisfies the given…

A: Given that, v(t)=9t2-10t+19s(1)=15 We need to find the position function of the particle. Let the…

Q: Prove that, the range, R the time of flight, T and the Maximum height, H by a projectile are…

A:

Q: An ion's position vector is initially r= 5i – 6j + 2k, and 10 slater it is r= -2i + 8j – 2k, all in…

A: Average velocity = net displacement / total time taken Now, net displacement = final position -…

Q: It is derived that the range for a projectile motion in special case is given as R = () sin(20).…

A: Determine the horizontal and vertical components of velocity.

Q: Can the magnitude of a particle’s displacement be greater that the distance traveled?

A: Distance is the total distance traveled from one point to another. It is a scalar quantity.…

Q: A particle is moving along a circular path having a radius of 4 in. such that its position as a…

A: The radius of the circular path is r = 4 in. The position of the particle is represented by the…

Q: If you wanted to plot the range R (o the y-axis) versus a quantity that depends on the initial speed…

A: Projectile motion is a two-dimensional motion. The analysis of this 2D motion can be done by…

Q: A point moving a long a curve whose position vector is R(t)=(t sin t +cost)i+(sin t-t cost)j+4 k;…

A: SOlution: given that position vector r = (tsint+cost)i+(sint-tcost)j+4k

Q: If you know the position vectors of a particle at two points along its path and also know the time…

A: As we know that,  The average velocity of a particle is defined by the total distance travelled…

Q: A particle under goes the folowing displacement, (3.5m) south, (8.2m) northeast and (15m) west.…

A: Let us consider the 8.2 m vector displacement as the hypotenuse of a right angled triangle with a…

Q: How long did it take the object to get from the position r = 2.0 m to the position z = 3.0 m?

A: Reffering the graph we have .

Q: For vectors B = -2î -9i and A =- calculate the fllowing )'AtB (Express r answer in vec Expres your A…

A:

Q: Consider three displacement vectors A = (3x - 3ý) m, B = (- 4y) m,and C = (-2x +5) m. The magnitude…

A:

Q: O If R= (i+ (); +(SZ Int)k %3D is the position vector ot aperticale in spuce defermine at tzi (a)…

A: Given- R=21+ti+t33j+2lntk -----------(1)

Q: Two trains S and T are moving at constant speed, S at 50kmh¯1 NW and T at a speed v, kmh-1 due W.…

A:

Q: ou can use any coordinate system you like in order to solve a projectile motion problem. To…

A:

Q: 2-86. Determine the length of the connecting rod AB by first formulating a Cartesian position vector…

A:

Q: If a particle's position is described by r(t) = e*i+te“j, find the velocity and acceleration vectors…

A:

Q: If: (X1 =30m) at (t1=o), and that (X2 = 53m) at (t2=50s). The displacement equal to

A: Position of object at t = 0 seconds is 30 m .  Position of object at t = 50 seconds is 53 m

Q: The position of a particle changes linearly with time, i.e. as one power of t, as given by the…

A:

Q: Find the displacement over the time interval [1, 6] of a helicopterwhose (vertical) velocity at time…

A: Given: The time interval is 1,6. The equation of the velocity is 0.02t2+t.

Q: Given the acceleration as a function of the angle theta, a = 6.5 sin θ + 2.3cos θ i. Find the…

A:

Projectile Motion