A straight river flows east at a speed of 20mi/h. A boater starts at the south shore of the river and heads in the direction which is 60o to the south shore. The motorboat has a speed 20 mi/h relative to the water. (a) Express the velocity of the river as a vector in component form; (b) Express the velocity of the motorboat relative to the water as a vector in component form; (c) Find the true velocity of the motorboat; (d) Find the true speed of the motorboat; (e) Find the true direction of the motorboat (the bearing).

Q: a fighter jet is flying at 268m/s, and executes a 9-gee horizontal turn. What is the radius of the…

A: Given: v=268 m/s(velocity of the jet) g=9.81 m/s^2 (acceleration due to gravity)

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: Given a displacement Vector F(t)= (2.50 m)1 + (0.25 m/s³)t³ (6.00 m/s)tk Find the displacement, Keep…

A: The displacement is given by, r(t)→=2.5i^+0.25t3j^-6tk^. Where r is in meter and t is in sec.…

Q: A plane can travel with a speed of 80mi/hr due North with respect to the air. Determine the…

A: A) Given :    Speed of the plane, vP =  80 mi/hr    Speed of the headwind, vH =  10 mi/hr  To…

Q: Imagine that a car is traveling from your left to your right at a constant velocity. Which two…

A: The accelerator of a car changes the velocity of the car. And breaks will decrease the velocity of…

Q: A particle initially located at the origin has an acceleration of  = 1.00ĵ m/s2 and an initial…

A: Here, it is given that, initial location of the particle: origin Initial velocity of the particle: 9…

Q: A particle with constant speed of 9 m/s along a path given as a) y=3x? b) x= y²-Iny Find the…

A: A particle with constant speed of 9 m/s along a path given as a) y=3x² b) x=y²-lny Find the…

Q: (a) Draw the initial and final velocity vectors (b) Find Dv

A: The initial and final velocity vectors as shown the below plot.

Q: A football punter kicks a football with a velocity of 22.0 m/s at 35.0 degrees from the horizontal.…

A: Given,  Velocity = 22 m/sec Angle of projection= 35° We need to find,  (a) Determine the initial…

Q: An airplane has an airspeed of 500 km/h. The pilot wishes to fly to a destination that is 800 km due…

A: (a) The ground velocity of the air plane will be the resultant of the Air plane velocity and wind…

Q: a motorist drives south at 20.0 m/s for 3.00min, then turns west and travels at 25.0 m/s for 2.00…

A: a)The total vector displacement is,

Q: Magnitude and direction of the position. magnitude   direction        Magnitude and direction of…

A:

Q: Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of å =…

A:

Q: If the initial velocity vector of a particle is vo= 8i - 2j m's, and after time t-5 s its v = 21 +…

A: Here given the initial velocity vector ia V0 = 8i - 2j m/s and after t = 5 sec its velocity is v =…

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

A:

Q: A snowmobile is originally at the point with position vector 26.5 m at 95.0\deg counterclockwise…

A:

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

A:

Q: Suppose the position vector for a particle is given as a function of time by F(c) =…

A:

Q: A Particle is located af origin, theh itis move with accelekation ã=3jM, and inifiol velocity V = si…

A: Given data: Initial velocity of the particle, u=5 i^ m/s Acceleration, a=3 j^ m/s2

Q: Suppose you hit a baseball with an initial velocity of 55 m/s at an angle of 48° with the ground.…

A: Given: The initial velocity of the baseball is, vi=55 m/s. The projection angle of the baseball…

Q: A particle initially located at the origin has an acceleration of a - 2.00j m/s? and an initial…

A:

Q: A baseball thrown at an angle of 60.0° above the horizontal strikes a building 17.0 m away at a…

A:

Q: Finding the Actual Speed and Direction of an Aircraft AnAirbus A320 jet maintains a constant…

A: Let the velocity of the plane is given by va. Let the velocity of jet stream is given by vw. The…

Q: The position of a particle is represented by a vector i of 20 m long and directed with an angle of…

A: Given data: r→=20 m  and  θ=45o The position vector of the particle, in terms of x- and y-components…

Q: A snowmobile is originally at the point with position vector 28.9 m at 95.0° counterclockwise from…

A:

Q: A horse canters away from its trainer in a straight line traveling due west, moving 250 m away in…

A: Distance is a total length travelled of a moving object. It is a scalar quantity and only requires…

Q: jxi=-k_This The convention is to choose the direction of +z so that ?Xj=kv which automatically means…

A: Given values: Force, F→=(7i^+9i^) N Displacement, r→=(0.8i^+1.2i^) m Torque, 𝞃→ = r→×F→

Q: The vector position of a particle varies in time according to the expression: r =( 20ti+(2 + 20t-5t…

A: The position vector of the particle is given as: r→=20t i^+2+20t-5t2j^ It is required to find its…

Q: A football is kicked at 25.0 m/s at an angle of 27.0∘ above the horizontal. Assume it starts 1.00 m…

A: Given: v0 = 25 m/s th = 27 degrees h0 = 1 m h = 4 m We need to find: (a) vx, vy (b) v, angle_final

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

A:

Q: Find the position vector of a particle that has the given acceleration and the specified initial…

A:

Q: A motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00…

A: Velocity and displacement vector

Q: An object on a horizontal plane has an initial velocity Vo (6.01+3.0f)m/s at a point where its…

A: Given: Initial velocity vector, v→i=(6.0i^+3.0 j^) m/s Final velocity, v→f=(-8.0i^-4.0 j^) m/s…

Q: Two shuffleboard disks of equal mass, one orange and the other green, are involved in a perfectly…

A: Consider the mass of the each disk is m ,  velocity of orange disk (u)= 3.0 m/s velocity of the…

Q: Which statements are not valid for a projectile? Take up aspositive.(a) The projectile has the same…

A: Projectile motion

Q: The vector position of a particle varies in time according to the expression T= t is in seconds. (a)…

A:

Q: Find the initial velocity vector vo of a projectile released with initial speed 125 m/s that reaches…

A: Given initial velocity = u = 125 m/s Maximum height = Hmax = 375 We have to calculate initial…

Q: John and Mary are skating at an ice rink. John skates at a constant speed of 6.6 m/s, with respect…

A: Let's find the south and west components of Mary's velocity. South = 12.3×cos28°,West = 12.3×sin28°…

Q: Given the displacement vector ? = [3.1?2, 2.0?, 0]: (a) what is the position of the object at time ?…

A: The given information in the question is a displacement vector,? = [3.1?2, 2.0? 0]. The displacement…

Q: Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of ā =…

A:

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

A: The position vector for a particle is, r→(t) = x(t) î + y(t) ĵ…

Q: A particle initially located at the origin has an acceleration of 3.00j m/s² and an initial velocity…

A:

Q: Ammar flies a drone starting from time = 0 second and position (0, 4m) with an acceleration of å =…

A: As given in problem , the acceleration is constant so we can use , equation of uniformly accelerated…

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.