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 particle travels clockwise around a circular path as shown below. The speed of the particle is…

A: See below

Q: A 425 m wide river flows North at  2.0 m/s. A turtle points himself directly East and swims at 8.0…

A: as the river as flow in north direction  and turtle goes in easy direction to cross river  so the…

Q: A particle leaves the origin with initial velocity v0= 12i + 14j m/s, undergoing constant…

A:

Q: A swimmer who can consistently keep the same pace to cover 50 meters in 8.41 seconds sets out to…

A: Given: Speed of current of river vrg=2.94 m/s Swimmer maintain pace to cover 50 m. in 8.41 s.

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: Problem of the Week: Suppose a high-powered catapult fires a pumpkin due north with initial speed 80…

A: Let u denotes the initial speed towards the north, θ denotes the angle, a denotes the net…

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: An apple grows on a tree located on a 39° hill with respect to the horizontal. The apple falls,…

A:

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: A space vehicle is coasting at a constant velocity of 15.4 m/s in the +y direction relative to a…

A: Given that:- Initial Velocity=15.4m/s along + y axis

Q: The position vector 7 = (4.30t)î + (et + ft²) locates a particle as a function of time t. Vector is…

A:

Q: A go The horizontal distance x from the starting point and the height y above the ground of the…

A: Given:- The initial velocity of the golf ball v0 = 66 m/s  The angle of the projectile is θ=27o with…

Q: A particle travels clockwise around a circular path as shown below. The speed of the particle is…

A:

Q: A particle moves in a circular path according to the clockwise equation θ(t)=π/4+3t+2t2, where θ is…

A: Here angular velocity = 4t+3 rad/sec And angular acceleration is = 4 rad/sec^2 so object speed is…

Q: An unsuspecting bird is coasting along in an easterly direction at 4.00 mph when a strong wind from…

A: Given :- An unsuspecting bird is coasting along in an easterly direction with the speed of v =4 mph…

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: When a rocket reaches an altitude of a meters, it begins to travel along the parabolic path as shown…

A: Write the given data: equation of motiony-a2=bx    ⋯⋯1wherea=40mb=154c=209 m/sh=93mlet the component…

Q: particle moving in the zy-plane has velocity v = (2ti + (3 − t²) ĵ) m/s, where t is in s.

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: wo friends, Barbara and Neil, are out rollerblading. With respect to the ground, Barbara is skating…

A: (a) Barbara sees that Neil is moving away from her at 2.5 m/s due to relative motion between her and…

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: The position of a dragonfly that is flying parallel to the ground is given as a function of time by…

A:

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: A space vehicle is coasting at a constant velocity of 15.4 m/s in the +y direction relative to a…

A: Given that:- A space vehicle has acceleration of 0.255m/s^2 along +ve x axis

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: y hmax

A: First we apply projectile motion to find intial speed and then apply equation of motion along x and…

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: 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: 8. On a baseball field, first base is about 30 m away from the home plate, and the second base is 30…

A: Displacement is basically the length and direction of the straight line connecting the initial and…

Projectile Motion