How long does it take an automobile traveling in the left lane of a highway at 60.0 km/h to overtake (become even with) another car that is traveling in the right lane at 40.0 km/h when the cars' front bumpers are initially 135 m apart?

How long does it take an automobile traveling in the left lane of a highway at 60.0 km/h to overtake (become even with) another car that is traveling in the right lane at 40.0 km/h when the cars' front bumpers are initially 135 m apart?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 62PQ: A glider aircraft initially traveling due west at 85.0 km/h encounters a sudden gust of wind at 35.0...

See similar textbooks

Related questions

Q: A cruise ship sails due north at 4.50 m/s while a Coast Guardpatrol boat heads 45.0° north of west…

A: Given:Velocity of ship = 4.50 m/s (north)Velocity of boat head = 45o north of west at 5.20 m/s

Q: A small, battery-powered, electric motorboat that can travel at a speed of 2.45 m/s in still water…

A: Given:- From the below given diagram V→BW = velocity of boat relative to water V→BG…

Q: Agent Bond is standing on a bridge, 15 m above the roadbelow, and his pursuers are getting too close…

A: Given: The position of agent Bond is h = 15 m. Velocity of the truck is v = 25 m/s. The distance…

Q: boat that can travel at 2.25 m/s in still water is heading directly across a river that is flowi a…

Q: A cruise ship sails due north at 4.50 m/s while a coast guard patrol boat heads 45.0º north of west…

A: Given : Velocity of cruise ship due north, vs = 4.5 m/s Coast guard patrol boat heads 45o North of…

Q: To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of…

A: S = u t +1/2 a t^2 apply this in x direction ( as no force in x direction so a=0) X = 350*cos(58)*36…

Q: A fireman d = 49.0 m away from a burning building directs a stream of water from a ground-level fire…

Q: A small, experimental aluminum airplane leaves its classified location on a foggy and overcast day,…

A: Given information: The initial horizontal velocity of the capsule (Vh) = 55.0 m/s The height at…

Q: A rocket is fired at a speed of 76.0 m/s from ground level, at an angle of 47.0° above the…

A: Given Initial Speed u = 76.0 m/s Angle of projection θ = 47.0o Height of the wall h = 14.2 m Range R…

Q: A plane is heading on a bearing of 200° with an air speed of 400 km/h when it is blown off course by…

Q: Jack Sparrow sees a Royal Navy ship around 500 meters avway and wants it sunk immediately, You, as…

Q: A rocket is fired at a speed of 65.0 m/s from ground level, at an angle of 48.0° above the…

A: The initial speed of the rocket, v0=65 m/s The launch angle, θ=48° The distance between the…

Q: An athlete crosses a 25-m-wide river by swimmingperpendicular to the water current at a speed of 0.5…

Q: e = 60° Vo = 5 mls a) Find the size of components of the initol velocitiy Vo of this bll 6) Find the…

A: Given: The initial velocity of the ball is 5 m/s. The angle of projection is 60°.

Q: A ship is on course for The Netherlands, heading North at 7.00 m/s. The ocean current is moving at…

A: horizontal component of velocity is vx=1.5m/scos40°=1.149m/s

Q: A particle move through 3-space in such away that it's velocity is v(t) = i + tj +t²k Find the…

A: Velocity vector V(t) : It is a vector which gives information about the velocity in x, y and z axis…

Q: Two boats are initially next to each other. Relative to the riverbank, Boat A is moving 2.00 m/s…

Q: A rocket is fired at a speed of 61.0 m/s from ground level, at an angle of 43.0° above the…

Q: In a game of billiards, ball A is given an initial velocity Vo = 3 m/sec along line DA, parallel to…

A: Given, Vo=3m/s

Q: New York Rangers defenseman Daniel Girardi stands at the goal and passes a hockey puck 20 m and 45°…

A: first leg of displacement of ball from goal to player at blue line (d1)= 20 m @45o north of east…

Q: An army captain wants to fire an artillery shell deep into the enemy's flank. However, he knows that…

A: This is a problem of projectile motion. The maximum height of the shell is H. The muzzle velocity of…

Q: tting d = 3 ft and elease, the projectile exits the tube with a speed of 90 ft/s. 7 ft, determine…

A: We first draw a free body diagram of the projectile as Now We know that the Newton- Euler equation…

Q: A boomerang is thrown with the following displacements: 3.7 m to the east, 2.4 m 30o North of West,…

A: Initial displacement r1=3.7 m eastsecond displacement r2=2.4 m 30° North of westFinal displacement…

Q: To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of…

A: Given: Initial velocity=320 m/s Time=37 s

Q: A fire hose held near the ground shoots water at a speed of 5.9 m/sm/s. At what angle(s) should the…

A: The maximum horizontal range of the projectile is calculated by using the formula R=u2sin2θg , where…

Q: In the final game of last year’s regular season, Moscow was playing Lewiston for the Conference…

A: The motion of the ball is as shown below The displacement of the ball is as in figure A is the…

Q: To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of…

Q: A fireman d = 30.0 m away from a burning building directs a stream of water from a ground-level fire…

A: Given: Horizontal distance from the buidling = d = 30 mVelocity of water = u= 40 m/sAngle made by…

Q: Up on the flat roof of a building that is 42.0 m high, a ball is rolling at a constant speed of 12.0…

A: Given:Height of the building = 42 mVelocity of the ball before falling from the building = 12 m/s…

Q: A fireman d = 50.0 m away from a burning building directs a stream of water from a ground level fire…

A: Horizontal range, L = 50 m Stream of water, v = 40 m/s Angle = 30.0˚

Q: A 0.20-km wide river has a uniform flow speed of 3.0 m/s toward the east. A boat with a speed of 8.0…

A: Given data: width of the river, D=0.20 km=200 m Speed of the flow of the river va→=3.0 m/s Speed of…

Q: The jet transport B is flying north with a velocity vB = 640 km/h when a smaller aircraft A passes…

A: Given Data: The velocity of jet transport B is: vB=640 km/h The angle between the velocity vector of…

Q: A fireman d = 52.0 m away from a burning building directs a stream of water from a ground-level fire…

A: Given : d = 52.0 m θi = 21.0° vi = 40.0 m/s

Q: discharged with an initial velocity v, of 11.15 m/s, determine (a) the distance d to the farthest…

A: Initial velocity, vo=11.15m/s Initial velocity along horizontal component, vxo=vocosαvxo=11.5cosα…

Q: A gun was fired at an angle of 60 degrees above the horizontal. The bullet having an initial…

A: Given: Initial velocity of bullet = u = 500 m/s Angle at which gun is fired = θ = 60 degrees above…

Q: New York Rangers defenseman Daniel Girardi stands at the goal and passes a hockey puck 20 m and 45°…

A: displacement of ball when defenseman passes ball from goal to kreider = 20 m @ 45o north of east…

Q: A motorboat is crossing a river that flows eastward at a speed of 5 km/h. If the boat its needs…

A: Given data: The speed of river is v→rE=5 km/h. The speed of motorboat is v→bE=10 km/h.

Q: A boomerang is thrown with the following displacements: 4.5 m to the east, 7.5 m 30o North of West,…

Q: hnny comes across a river that is 252 meters wide. He sees at the water flows eastward with a…

Q: In the latest Indian Jones film, Indy is supposed to throw a grenade from his car, which is going…

A: Let v0 be the initial speed of the projectile relative to indy’s car, t be the time of flight, s1 be…

Q: Two trains S and T are moving at constant speed, S at 50kmh¯1 NW and T at a speed v, kmh-1 due W.…

Q: A 0.20-km wide river has a uniform flow speed of 3.0 m/s toward the east. A boat with a speed of 8.0…

A: river width d = 0.20 km = 200 m River flow speed Vr = 3.0 m/s towards east Boat speed v = 8 m/s

Q: On a day when the wind is blowing toward the south at 3 m/s , a runner west at 1.9 m/s.wh s.what is…

A: Given : vy = -3 m/s (negative because of South direction) vx = -1.9 m/s (negative because of west…

Q: A fireman d = 57.0 m away from a burning building directs a stream of water from a ground-level fire…

Q: During a baseball practice session, the cutoff man executes a throw to the third baseman B. If the…

Q: A fireman d = 31.0 m away from a burning building directs a stream of water from a ground-level fire…

Q: A car travels 40km due west and 50km in a dir X component of the resultant displacement (ir

Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

FIND s

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h, (a) in what direction must the pilot head her plane to move directly north across land and (b) how long does it take her to reach a point 300 km directly north of her starting point?
A diver explores a shallow reef off the coast of Belize. She initially swims 90.0 m north, makes a turn to the east and continues for 200.0 m, then follows a big grouper for 80.0 m in the direction 30 north of east. In the meantime, a local current displaces her by 150.0 m south. Assuming the current is no longer present, in what direction and how far should she now swim to come back to the point where she started?
A glider aircraft initially traveling due west at 85.0 km/h encounters a sudden gust of wind at 35.0 km/h directed toward the northeast (Fig. P3.62). What are the speed and direction of the glider relative to the ground during the wind gust? (The velocity of the glider with respect to the ground is the velocity of the gilder with respect to the wind plus the velocity of the wind with respect to the ground.)
Two birds begin next to each other and then fly through the air at the same elevation above level ground at 22.5 m/s. One flies northeast, and the other flies northwest. After flying for 10.5 s, what is the distance between them? Ignore the curvature of the Earth.
A projectile is launched at an angle of 30 and lands 20 s later at the same height as it was launched. (a) What is the initial speed of the projectile? (b) What is the maximum altitude? (c) What is the range? (d) Calculate the displacement from the point of launch to the position on its trajectory at 15 s.
A boat can be rowed at 8.0 km/h in still water. (a) How much time is required to row 1.5 km downstream in a river moving 3.0 km/h relative to the shore? (b) How much time is required for the return trip? (c) In what direction must the boat be aimed to row straight across the river? (d) Suppose the river is 0.8 km wide. What is the velocity of the boat with respect to Earth and how much time is required to get to the opposite shore? (e) Suppose, instead, the boat is aimed straight across the river. How much time is required to get across and how far downstream is the boat when it reaches the opposite shore?
s On October 9, 1992, a 27-pound meteoritestruck a car in Peekskill, NY, leaving a dent 22 cm deep in thetrunk. If the meteorite struck the car with a speed of 130 m>s,what was the magnitude of its deceleration, assuming it to beconstant?
Two ships A and B leave the same port at 3:00 p.m. Ship takes a course N 43°43'W at 30 km per hour while B sails due north. At 5:00 pm., B is directly east of A. What is the speed of ship B and what is the distance between the two ships?
A stone is thrown from ground level with an initial speed of 12.0 m/sm/s at a 44.0 ∘ angle from the horizontal. Part B How long is it in the air?
A small, experimental aluminum airplane leaves its classified location on a foggy and overcast day, and flies at 198 km/h (= 55.0 m/s), at a constant height h of 500 m, toward a point directly over a victim of a bizarre, classified experiment, floating in a remote mountain lake, where a rescue capsule is to land. (a) What should be the angle φ of the alien pilot’s line of sight to the victim when the capsule release is made? (b) As the capsule reaches the water, what is its velocity ⃗v?
An ant crawls on the surface of a ball of radius b in such a manner that the ant's motion is given in spherical coordinates by the equations r = b; phi = omega*t; theta = pi/2 * [1 + 1/4 * cos(400t)] Find the speed of the ant as a function of the time t. What sort of path is represented? by the above equations ?
A student drives 10 km to the north and then 20 km 30° S of E. By using the component method, what are the magnitude and direction of his displacement from the starting point?