Acceleration is a rate of change of velocity.     Average velocity is the rate at which an object changes its position from one place to another.     At constant velocity, the object is moving in a straight line with zero acceleration.     At constant velocity, the object is moving in a straight line at a varying speed.     The sum of two or more vectors is represented by a resultant vector

Q: 1) The position of a particle is tracked and its position vector 7 = (t+ 1) i+ (t + 2t)j where t is…

A: part(a)            position component y in terms of x            let x component =t+1…

Q: (a) What is the magnitude (in km) and direction (in degrees south of east) of her displacement…

A: The distance moved by the person towards the south, The distance moved by the person toward the…

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: Suppose a hiker walked 65 m, 25 degrees east of north. What are the x and y-components of his…

A: Suppose a hiker walked 65 m, 25 degrees east of north. What are the x and y-components of his…

Q: often leave diagonal streaks even if there is no wind. Why? Is the explanation the same or different

A: Rain drops hitting the window of a car in motion often leave diagonal streaks even if there is no…

Q: A hiker walks 50 m east, then 200 m south and finally 400 m west.What is the total distance and…

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Q: The best leaper in the animal kingdom is the puma, which can jump to a height of 10.8 ft when…

A: From the kinematics, the formula for the final velocity along the vertical direction is: Plug the…

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 jetliner, traveling northward, is landing with a speed of 68.2 m/s. reduce its speed to 7.16 m/s.…

A:

Q: In reaching her destination, a backpacker walks with an average velocity of 1.31 m/s, due west. This…

A:

Q: A jet is flying due south at a constant speed of 460 miles per hour. It is flying with a direct…

A: Given: A jet is flying due south at a constant speed of 460 miles per hour. It is flying with a…

Q: An ion's position vector is initially 7 = (-3,9 m )i + (-8.6 m )j + (-3.4 m )k, and 9.3 s later it…

A:

Q: 390 m/s due west at one moment and 450m/s due north 10.0 s later. Find the plane’s average…

A: We know that An airplane is flying 390 m/s due west at one moment and 450m/s due north 10.0 s later.…

Q: A man is lost in a thick forest. Confused and clueless as to what direction to take, he walks a…

A: The net displacement should be zero. A+B+C=0 C=-(A+B) A=5cos25i+5sin25j=4.53i+2.11j…

Q: Compute the magnitude and direction of the average velocity in the time interval between t = 0 and t…

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Q: A car makes a trip due north for three-fourths of the time and due south one-fourth of the time. The…

A: Given, Car makes trip due north for three-fourths of the time and due south one-fourth of the time.…

Q: A field biologist is studying the migration patterns of northern gannets (a type of seabird). On one…

A:

Q: A pilot flies in a straight path for 1h 30 min. She then makes a course correction, heading 11…

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Q: You walk 33 m to the north, then turn 60° to your right and walk another 45 m. How far are you from…

A: Let's assume X-axis along the east direction and Y-axis along north direction. Take, east and north…

Q: An aeroplane moves so that at time t seconds, its position vectors, r metres, is given by: r= (40t)i…

A:

Q: Sokka, our benevolent hero, is trying to dispense of his arch-enemy Firelord Ozai by pushing him…

A: Given data:  Horizontal velocity (v) = 75 m/s Height (h) = 633 m Acceleration (a) = 10 m/s2

Q: The position vector of a particle moving in the xy-plane is given by (At, Bt¹) r = where t is the…

A: Given:Position vector:r= (4.5t, 8.0t4)  a) Magnitude of particle displacement at t = 2 s:r = (4.5t,…

Q: Determine the magnitude of the vector sum V-V₁ + V₂ and the angle 8, which V makes with the positive…

A: Vector.

Q: s. What is the truck's speed, relative to the ground?

A: Velocity of the car with respect to ground Vc,g  = 25m/s Velocity of the truck with respect to car…

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: A woman walks 2.05 km south and then 2.75 km east, all in 2.60 hours. (a)What is the magnitude (in…

A:

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: A ball is thrown from the edge of a cliff of height h=100 m with an initial horizontal velocity of…

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

Q: A cannonball is launched from the top of a flat mountainside, which slopes upwards at 35 degrees…

A: This is the case of the projectile motion along the inclined plane. Consider the following figure.…

Q: When chasing a hare along a flat stretch of ground, a greyhound leaps into the air at a speed of…

A: speed = v=12.1 m/s angle θ=27.0° above the horizontal

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: Does the acceleration vector always point in the direction in which an object is moving? If so,…

A:

Q: You walk 43 m to the north, then turn 60° to your right and walk another 45 m. How far are you from…

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Q: .  25) A car is 2.0 km west of a traffic light at t = 0 and 5.0 km east of the light at t = 6.0…

A: Given value--- car is 2.0 km west of a traffic light at t = 0. 5.0 km east of the light at t = 6.0…

Q: A car is traveling east at 17.5 m/s when it turns due north and accelerates to 32.5 m/s, all during…

A: Given data:  Initial velocity (u) = 17.5 m/s, due East Final velocity (v) = 32.5 m/s, due North Time…

Scalars and Vectors

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