A bus driver heads south with a steady speed of v1 = 20.0 m/s for t1 = 3.00 min, then makes a right turn and travels at v2 = 25.0 m/s for t2 = 3.00 min, and then drives northwest at v3 = 30.0 m/s for t3 = 1.00 min. For this 7.00-min trip, calculate the following. Assume +x is in the eastward direction. A) total vector displacement (Enter the magnitude in m and the direction in degrees south of west.) B) average speed (in m/s) C) Average velocity (Enter the magnitude in m/s and the direction in degrees south of west.)

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

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Q: An ant walks on a piece of graph paper straight along the x axis a distance of 10.0 cm in 1.80s. It…

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Q: A bird is flying due east. Its distance from a tall building is given by  x(t)=28.0 m+(12.4…

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Q: A car travels in the +x-direction on a straight and level road. For the first 4.00 s of its motion,…

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Q: A ball is launched vertically upward with a speed of (21.0+A) m/s. Determine the speed of the ball…

A: Given: The initial speed of the ball is Vi =(21.0 +A) m/s. The height is h = (18.0 +B). A =15 B = 8

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

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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: A car is parked near a cliff overlooking the ocean on an incline that makes an angle of 19.9◦ with…

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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: An object moves along the x-axis according to the equation x(t) = (3.00t3 – 2.00t + 1.00)m.…

A: Given,

Q: Homework: A point moves along the curve y = 16 x (x and y in meters ) in such a manner that the y…

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Q: The plane starts from rest (V=0 m/s) when t, =8.0 s. The plane accelerates down the runway and at…

A: Given, Initial velocity, u=0m/s Final velocity , v=110 km/h=110×100060×60=30.55 ms Initial time,…

Q: You stand at the edge of a 22.0 m high cliff and throw a stone straight down with a speed of 8.00…

A: Initial velocity, u = 8 m/sFinal velocity, v = 22.3 m/s

Q: a car is traveling west at 22.5 m/s when it turns due south and accelerates to 40.0 m/s, all during…

A: Given data: Initial velocity (Vi) = 22.5 m/s, towards west Final velocity (Vf) = 40.0 m/s, towards…

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

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Q: A bicycle, initially located xo = 2.3 m at time t-D0 seconds, has a velocity at time t given by v =…

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Q: Nathan is piloting a boat due south down the Murray River at a speed of 7.0m/s. At the same time…

A: The diagram showing the motion of the boats is given below. Take the north direction to be pointing…

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: A juggler is practicing tossing balls on a train which is moving north at 30 m/s. She tosses a ball…

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Q: For a motion with constant acceleration, the equation of average velocity is (v+vo) _ 2. It is not…

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Q: The velocity of a particle is given by v = 23t2 - 110t + 52, where v is in meters per second and t…

A: Given data: Velocity of particle, v=23t2-110t+52

Q: A student begins at rest and then walks north at a speed of v1 = 0.55 m/s. The student then turns…

A: Given: Speed v1 = 0.55 m/s along north direction Speed v2 = 0.53 m/s along south direction Taking…

Q: A rock is kicked with an initial horizontal velocity of 10.0 m/s in the positive x direction from…

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Q: A bird watcher meanders through the woods, walking 0.655 km due east, 1.23 km due south, and 4.33 km…

A: A bird watcher A bird watcher meanders through the woods, walking 0.655 km due east, 1.23 km due…

Q: train slows down as it rounds a sharp horizontal turn, slowing from 50.4m/s to 24.9m/s in the 18.0s…

A: Given Data:The initial velocity of a train is, v1 =50.4m/sThe final velocity of a train is.v2 =…

Q: A point moves along the curve y² = 16 x (x and y in meters) in such a manner that the y coordinate…

A: y2=16xx=y216=-4t216=t2........................(1)dxdt=2tvx=2tAt t=5 svx=25=10 m/s

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: You are driving home from school steadily at 99 km/h for 190 km . It then begins to rain and you…

A: The problem is based upon the concept of speed and distance. We know that distance is speed times…

Q: A cheetah is crouched 20 m to the east of a vehicle . Attime t = 0 the cheetah begins to run due…

A: Velocity is assigned to an object in motion, and it is a vector quantity whose magnitude is the rate…

Q: The acceleration of a particle moving along a straight line is a = (11 - 1.0s) m/s², where s is in…

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Q: The bacterium Escherichia coli (or E. coli) is a single-celled organism that lives in the gut of…

A: Given,             Zig-Zag constant speed, v = 20 μm/s             Other data in the graph

Q: A mountain lion jumps to a height of 2.80 m when leaving the ground at an angle of 43.1°. What is…

A: Given Height  of the mountain H = 2.80mAngle of launch θ=43.1°

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: A car is traveling west at 22.5 m / s when it turns due south and accelerates to 37.5 m /s, alt…

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Q: You walk for 1000 m northwards at a constant velocity of 3 m/s. Then you turn around, and walk with…

A: Given,  Distance travelled in north direction is 1000 m at constant velocity of 3 m/s    d= 1000 m…

Q: A cab driver heads south with a steady speed of v, = 20.0 m/s for t, = 3.00 min, then makes a right…

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Q: The velocity and acceleration of an object at a certain instant are i = (3.0 m/s)j %3D å = (5 m/s²)i…

A: The velocity of an object at a given instant = 3 ms j^The acceleration of an object at a given…

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –