Ana runs southeast at constant velocity, with velocity components Vx = 5.6 m/s, Vy= −1.4 m/s.  What is the magnitude of Ana’s velocity?

Q: A particle is moving in the i- j plane with an acceleration of (1 – t)į +tj where t is the time. The…

A: Given: a=1-ti+tj∫a·dt=vwhere, v is velocity…

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

A: Given Coordinates at t=0 sec are (-2.0 m, 4.2 m) Coordinates at t=4 sec are (4.4 m, -1.8 m)

Q: A stone is launched at t=0 with an initial velocity of vo = 23.3 m/s at an angle 80 = 38.2 degrees…

A: Initial speed = angle of launch time t = 1.06 sat any time t the horizontal and vertical component…

Q: A car is 2.54 km west of a traffic light at t = 0 and 5.91 km east of the light at t = 6.00 min.…

A: The position of light is at origin ie (0,0). The distance coordinate of any position is expressed…

Q: A sports car driver turned his car 15.0 km [E 30.0° N], and then turned again 30.0 km [W 45.0° N] to…

A: Here car first travel = 15.0 km [E 30.0° N],then turned again travel = 30.0 km [W 45.0° N]total time…

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: At time t=0, a jogger is heading due east with speed v=1.4 m/s. At time t1=3.0s, she is heading 0=42…

A:

Q: A dog slips out of its collar while going for a walk and runs away at full speed.  By the time the…

A:

Q: An object has position given by the vector r = [3.0m + (6.0m/s)t] i + [2.0m - (2.0m/s2)t2] j, where…

A:

Q: 1. The velocity of a particle is given by v = {16t²i + 4t³j + (5t + 2)k} m/s, where t is in seconds.…

A:

Q: An object is moving with an initial velocity of 5.8 i m/s and a final velocity 13.8 i m/s. The time…

A:

Q: In the x direction, an object has an initial velocity component of 4.98 m/s and an acceleration of…

A: We are given with initial components of velocity and components of acceleration in x and y…

Q: What is the magnitude of the horizontal displacement of a body moving at (5i + 3j) m/s after 5…

A:

Q: The velocity of a particle (in meters per second) is given by v = 16t²i + 4t³j+ (5t + 2)k, where t…

A:

Q: A point moves on a circular path with its position from rest defined by s = t^3 + 5t, where s and t…

A: S=t3+5tacceleration, a=8.39 ms2time, t=0.66 s

Q: velocity

A: Given: Acceleration of the object is given by the equation, A=(3t2+3t)i+(7t3+6)j At time = 0…

Q: You are on a new planet and want to know the acceleration due to gravity. You take a ball and kick…

A:

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

A: The x-component of the initial velocity and acceleration of the puck is .The y-component of the…

Q: An athlete is training on a 100 m long linear track. His motion is described by the graph of his…

A: An athlete is training on a 100 m long linear track. His motion is described by the graph of his…

Q: The position vector of a particle is given as r = (t^2-6t+8)i + (t^2-9)j Find the magnitude…

A: Position vector is the vector form of displacement by the body when it is in motion. r→=ati^+btj^…

Q: The vertical displacement (in m) of a plane is  1.5 t2 up; t is the time (in s) after takeoff. The…

A: Given, the vertical displacement (in m) of a plane is y=1.5 t2 up; t is the time (in s) after…

Q: Ajetliner, traveling northward, is landing with a speed of 68.2 m/s. Once the jet touches down, it…

A: Given data:  Initial velocity (u) = 68.2 m/s Displacement (d) = 750 m Final velocity (v) = 7.16 m/s…

Q: At time t = 0 a particle at the origin of an xyz-coordinate system has a velocity vector of Vo =i+…

A:

Q: A car is 2.52 km west of a traffic light at t = 0 and 4.28 km east of the light at t = 6.00 min.…

A: Given: at t=0 , car is at 2.52 km west of traffic light at t=6.0 min, car is at 4.28 km east of…

Q: Position of a linearly moving particle s = (t3 - 8.625t2 - 22.125t + 11.625) m. When t is in seconds…

A:

Q: is the magnitude of the as 2

A: Given: Equations are x=5t+2t2,y=3t+t2 time is 2 s

Q: A particle moving with an initial velocity vo = (10m/s)î and initial position 7, = (4m)î + (2m)j,…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: You are designing a missile defense system that will shoot down incoming missiles that pass over a…

A: Given:- An incoming missile passes directly above the defense base. Radar at the base can measure…

Q: A man hits a ball 2.4 m above the ground. If the ball leaves his racket with an initial velocity of…

A: Given: Initial height of the ball is 2.4 m. Initial velocity of the ball is 52 ms. Angle of…

Q: An insect takes 8.03 minutes to walk 19.9 m toward the south along a deserted highway. A driver…

A:

Q: The velocity of a drone relative to the air is modeled by v = 3i − j. The drone encounters wind with…

A: velocity of drone relative  to wind (vdw)=3i − jvelocity of wind(vw)=−7i + 5jlet vd be velocity of…

Q: A person going for a walk follows the path shown in the figure, where y, = 270 m and e = 56.0°. The…

A: The following data are given: The displacement vectors are: d1→=100m i^ d2→=-270m j^ d3→=-150cos30°m…

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: In a time of 2.67 h, a bird flies a distance of 86.7 km in a direction 30.2 degrees east of north.…

A: Given data:  Time (t) = 2.67 h Distance (d) = 86.7 km Angle (θ) = 30.2° East of North Required: The…

Q: The vertical displacement (in m) of a plane is  1.5 t2 up; t is the time (in s) after takeoff. The…

A: The vertical displacement is the vertical component of the distance covered by the plan from the…

Q: A vehicle travels at a speed of 4 m/ sec along a horizontal Circular road that has a radius of 50m…

A:

Q: At t=0, an object moves with an (a) Determine the magnitude of t 40 ✔ m/s² (b) Determine the…

A:

Q: A jeep travels a distance d=22.1m in the positive x direction in a time t1=20.2s, at which point the…

A:

Q: A manhwa artist draw an animation in which a dot on a computer screen has a position of r = [5.0 cm…

A: Given r→ = [5.0 cm + (3.5 m/s2) t2] i^ + (5.0 cm/s) t j^.

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

A:

Q: A spacecraft has an initial speed of 3037 m/s at an angle of 27 degrees above the positive x axis.…

A: initial velocity = 3037 m/s @ 27 degree above +x axis acceleration = 9.9 m/s2 @ 18.5 degree above +…

Projectile Motion