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?

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…

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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…

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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…

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

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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…

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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…

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

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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…

A:

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,…

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

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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.…

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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…

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

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

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

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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.