A dog slips out of its collar while going for a walk and runs away at full speed.  By the time the owner calls out for her to stop, she has already run 28 m straight east.  When she hears her owner call out she runs back 9 m straight west and then stops at a fire hydrant.  What is the magnitude and direction of the dog's overall displacement

Q: Bradley maintains a heading due east with an air speed of 320km/h. After flying for 45 min, he finds…

A: When speed is constant then distance travelled by an object in time 't' is given by  S=vtWhere S…

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 rocket is launched at an angle of 58.0° above the horizontal with an initial speed of 104 m/s. The…

A: Given, A rocket is launched at an angle of 58.0° above the horizontal with an initial speed of 104…

Q: A seagull flies horizontally over the ocean at a constant speed of 2.30 m / s carries a small fish…

A: Given values -  Initial speed = 2.3 ms-1 Time = 21.15 s

Q: A playful cat sees a mouse run past him with a constant velocity of 2 m/s. One second after the…

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Q: In a scene from a classic cartoon, a hungry coyote is chasing a roadrunner, as shown in the figure…

A: a)Write the second kinematic equation along the horizontal direction and substitute the…

Q: From the top of a tall building, a gun is fired. The bullet leaves the gun at a speed of 340 m/s,…

A: in this question we determine  distance D and H. we simply use newtons equation of motion. v = 340…

Q: Two ants pass each other one is moving along the negative x axis and one is moving at 45 degrees to…

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Q: velocity of the spacecraft when the engines shut off? What is the angle from the positive x axis

A: Given: Initial velocity of space-vehicle is u=3308 m/s making an angle 42° with positive x-axis.…

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: 1. A 4kg ball is launched into the air from the ground with a speed of 18m/s. At the top of its arc,…

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Q: A Lockheed Martin F-35 II Lighting jet takes off from an aircraft carrier with a runway length of 90…

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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: 9. A tourist being chased by an angry bear is running in a straight line toward his car at a speed…

A: Given : Speed of tourist, u = 4 m/s  Speed of bear, v = 6 m/s  Distance of bear , s = 26 m  Distance…

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

A: The equation for distance at t = 1 s can be given by, x1=20  m + (5.0 m/s2)(1 s)2  x1=25 m

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: A rhinoceros is at the origin of coordinates at time t1 = 0. For the time interval from t1 = 0 to t2…

A: average velocity has x-component -3.8 m/s and y-component 4.9 m/s.

Q: Two soccer players start from rest, 43 m apart. They run directly toward each other, both players…

A: According to the given data S=43m v a1=0.49m/s2 a2= 0.46m/s2 we need tot find (a) time before they…

Q: Lockheed Martin F-35 Lightning II jet takes off from an aircraft carrier with a runway length of 97…

A: Length of runway (L) = 97 m Take off speed (v) = 72 m/s (long x direction) Acceleration (a) = 4.3…

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

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Q: A 440g beanbag slides up a cornhole board (if you’ve never played cornhole before, the board is…

A:

Q: Multiple-Concept Example 4 deals with a situation similar to that presented here. A marble is thrown…

A: We know that  horizontal velocity vh = 15.2 m/s let verticle velocity at ground = vv' Angle with…

Q: Two soccer players start from rest, 28 m apart. They run directly toward each other, both players…

A:

Q: A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0 s, the…

A: At t = 0 s: The velocity of the puck is, v0  = (+1.1 m/s) i + (+8.6 m/s) j The acceleration of the…

Q: A log is floating on swiftly moving water. A stone is dropped from rest from a 72.4-m-high bridge…

A: Given, height of the bridge, h = 72.4 mspeed, vx = 5.32 ms

Q: A salamander of the genus Hydromantes captures prey by launching its tongue as a projectile: The…

A: Acceleration

Q: Ed drives back and forth along Main Street, which runs east-west, stopping a few different places to…

A: Given data:  Time (t) = 1.75 hours Total distance (d) = 4.2 km Net displacement (ΔX) = -1.2 km

Q: An airport terminal has a moving sidewalk to speed passengers through a long corridor. Larry does…

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Q: A car is traveling with a constant speed along a road that has a form of an equilateral triangle.…

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Q: A puck is moving on an air hockey table. Relative to an x, y coordinate system at time t = 0 s, the…

A: The kinematic equations of motion are-1) v=u+at2) s=ut+12at23) v2=u2+2as where,u is initial…

Q: velocity

A: Given: Acceleration of the object is given by the equation, A=(3t2+3t)i+(7t3+6)j At time = 0…

Q: A cheetah is crouched 20m to the east of an observer's vehicle. At time t=0 the cheetah charges an…

A: Given: distance cheetah crouched =20 m The x coordinate equation =20 m+(5.0m/s2)(t2)   (a) The…

Q: At time t0=0.0s, a car, starting from rest, moves south. It continues moving south, and by time tf…

A: Initial time: t0 = 0.0 s;Final time: tf = 121 s;Distance: d = 6689 m.North direction is along…

Q: Consider a particle moving along the x-axis with acceleration a(t) = 2t and an initial velocity,…

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Q: A ball has an initial velocity of 1.50 m/s along the x-axis. Starting at t0=0, the ball receives an…

A: The velocity of an object accelerating is given by v= u+at, where u = initial velocity, a =…

Q: An ant crawls on the floor along the curved path shown in                Figure P3.4. The ant's…

A:

Q: Lately, Jason has been taking drivers' ed so that he can get his license. However, he's also been…

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Q: I do not understand in what form the answer is supposed to be in

A: The given vector C is

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…

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 –