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: An aeroplane flies 400 m due North and then 300 m due South and then flies 1200 upwards, the net m…

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Q: An object is launched vertically in the air at 31.85 meters per second from a 4​-meter-tall…

A: The maximum height will be the vertex. From projectile motion model, the required time is,…

Q: A car moves along a horizonatal road with constant velocityv0 = v0, x^ii = (30.06 m/s)^i   until it…

A: The objective of the question is to find the average acceleration of the car during the given time…

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: find (a) its velocity(b) acceleration after 5s.,(c) plot a graph of the velocity(Y) vs time (X)and…

A: Given, x0 =29cos 95 y0 =29 sin95 vix=4.5 cos 40 viy=4.5 sin40 aix=1.9cos200 aiy=1.9sin200

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

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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…

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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 person going for a walk follows the path shown in the figure. The total trip consists of four…

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Q: Problem 1: An object is thrown off the top of a building with velocity 26 m/s at an angle of 35°…

A: Given data: Initial velocity of object, u=26 m/s Angle from the horizontal, θ=35o Time of flight,…

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

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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 2.60…

A: Ans:- Image-1

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

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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: After driving around and undergoing a displacement of Ar, = 21.5 km and Ar, = -14.7 km, a driver…

A: The given values are,

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: Ex. 2. A car driver in northern Ontario makes the following displacements: Ad₁= 15.0 km [W 30.0°N]…

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Q: Suppose that a particle begins its motion from the origin and meets the velocity (in m / s) given…

A: Given: vx (t) = 2.50t vy (t) = 3.50√t.

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…

Q: Starting from the center of town, a car travels east for 80.0 km and then turns due south for…

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Q: Question 4: An object is moving in the x-y plane according to the following formulas: x = 25t and y…

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Q: A quarterback takes the ball from the line of scrimmage, runs backwards for 9.0 yards, then runs…

A: Runs backwards , D1 = 9 yards Runs parallel , D2 = 15 yards Throws forward , D3 = 42 yards . To find…

Q: The position vector of a particle in 2D is given by r(t) = (bwt + b sin(wt)) â + (b + bcos (wt)) ŷ,…

A: Given:position vector is r→(t) =  (bωt + bsinωt)x^ + (b+bcosωt)y^b and ω are constantsAsked:to find…

Q: calculate the displacement over which the puck accelerates.

A: Introduction:We know, kinematic equation:s=ut+21​at2=ut+21​(tv−u​)t2=ut+2vt−ut​=2vt+ut​=(2v+u​)t…

Q: Chapter 02, Problem 10 In reaching her destination, a backpacker walks with an average velocity of…

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Q: A person going for a walk follows the path shown in the figure, where y, = 302 m and 0 = 54.0°. The…

A: Displacement is the shortest path between the initial and final position. It is a vector quantity.…

Q: runner’s displacement

A: Initial position of the runner,R = 60.0 m (east)Final position,R' = - 15.7(weast)

Q: A bird watcher meanders through the woods, walking 0.30 km due east, 0.70 km due south, and 2.85 km…

A: Bird watcher walks 0.30 km due east , 0.70 km due south and 2.85 km in a direction 43⁰ north of west…

Q: The vector position of a particle varies in time according to the expression ř = 9.00 î - 8.00t? j…

A: a)Position vector given as, r→=9.00i^-8.00t2j^ Now velocity is  displacement  with respect to time.…

Q: A person walks 2.80 km north and then 2.00 km east, all in 2.20 hours.   (a) What is the magnitude…

A: Draw the figure of the problem.

Q: A golf ball is hit at an angle of 40° above horizontal with a speed of 55 m/s. (a) How high does it…

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Q: A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time…

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Q: An object has an initial velocity of 29.0 m/s at 95.0° and an acceleration of 1.90 m/s2 at 200.0°.…

A: (a) The horizontal component of the initial velocity is given as,

Q: An object is located initially at an origin. It has acceleration 3.00 m/s2, 90° and velocity 5.00…

A: Given:- An object is located initially at an origin. It has acceleration 3.00 m/s2, 90° and velocity…

Q: One of the fastest known animals is the Indian spine-tailed swift. A swift flies 2.80 km due north…

A: Given, the swift flies d = 2.80 km due north in a time of t = 32.8 s.

Scalars and Vectors

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