boat aims to cross a river as fast as possible. The river flows at 3 m/s  and the boat’s speed is 5 m/s.  The river is 500m across.   Which direction should the boat point to, and how far down or up-river will the boat land?

Q: Suppose a goalkeeper can give the ball a speed of 28 m/s. What is the maximum horizontal distance…

A: The ball will travels in a projectile path. The maximum horizontal range of projectile motion is…

Q: A skydiver jumps from a plane 4000 meters in the air that is flying 250 m/s horizontally. To land…

A:

Q: A football punter wants to kick the ball so that it is in the air for 4.3 s and lands 55 m from…

A: Given that:- Time of flight=4.3sec

Q: A plane navigator plans to fly to a location 1200km away in direction 30o east of north. The weather…

A: (a) Calculate the direction given by navigator to pilot.

Q: A cannon is fired to a hill. The beginning of the hill is 200 meters away from the cannon and it is…

A: The range of the bullet can be calculated as, R=v2sin2θg=60 m/s2sin260°9.8 m/s2=318.13 m

Q: A pipe discharges storm water into a creek. Water flows horizontally out of the pipe at 1.5 m/s, and…

A:

Q: A monster truck launches off a ramp 4.5m high at a velocity of 75m/s 52° above the horizontal. This…

A:

Q: A cannon ball launcher is situated 10.0m from the base of a 30.0m high cliff. The launcher is aimed…

A:

Q: A) What is her speed with respect to the starting point on the bank? B) How long does it take her to…

A:

Q: A ball will be thrown to hit a target standing on the ground at a distance of 100 m from the roof of…

A: (a) The figure below shows the situation in the question Let the initial horizontal velocity,…

Q: Given a parametric parabolic trajectory of x 56t and y = 76t - 4.9t2 where x and y are measured in…

A: The velocity of an object if its motion along x and y direction is given as a function is given by,…

Q: A basketball player kicks a hollow basketball up a ramp at 18m/s.  The ramp has an angle of 25° and…

A:

Q: A river is flowing from west to east at a speed of 10.0 km/h. A boat’s speed in the water is 20.0…

A:

Q: If a boat points its prow directly across a river, and its engine has one speed of 8.39 m/s. What is…

A:

Q: You want to cross a river that is 30 m wide and flows to the East at 3.0 m/s. You can swim at a…

A:

Q: A jetliner with an airspeed of 1000 km/h sets out on a 1500 km flight due south. To maintain a…

A: Given data: The total travel distance is d=1500 km The destination time is t=110 min Calculate the…

Q: Suppose a goalkeeper can give the ball a speed of 26 m/s. What is the maximum horizontal distance…

A:

Q: A Polynesian boater leaving Vanunu wishes to make landfall on an island 210Km directly south. She…

A:

Q: A rocket lifts off its launching pad with a vertical velocity of 20. m/s and  a horizontal velocity…

A: Given data The vertical velocity of the rocket is vy = 20 m/s. The horizontal velocity of the rocket…

Q: You walk 33 m to the north, then turn 60° to your right and walk another 45 m. How far are you from…

A: Let's assume X-axis along the east direction and Y-axis along north direction. Take, east and north…

Q: n inflatable life raft is released from an airplane at 300 m altitude, in level flight, with an air…

A:

Q: A cannonball is shot (from ground level) with an initial horizontal velocity of 37 m/s and an…

A:

Q: The ball hit by a baseball player leaves the baseball bat at an initial velocity of 28 m / s upward…

A:

Q: A cannonball is fired from a gun with a muzzle velocity of 80 m/s at an angle of 70 degrees above…

A: a)Given ,u=80 m/sθ=70°x-component=u cos θ                      = 80 cos 70                      =…

Q: A boat going 10 m/s relative to the water crosses a river flowing 2 m/s downstream. The river is 600…

A: We are given velocity of boat wrt water. We are given velocity of river.  We are given width of…

Q: A football is kicked from ground level with a speed of 25 m/s at an angle of 32 degrees. A) How much…

A:

Q: A golfer tees off on a hill located 75 meters below the green. If the golfer wants a hole in one and…

A:

Q: An enemy ship is on the east side of a mountain island, as shown in the figure. The enemy ship has…

A: The expression for the projectile motion of the ship is, Solve the above relation. The solution…

Q: A river is flowing at a rate of 3 m/s. Charlie can paddle his kayak at a speed of 4.5 m/s. If…

A: velocity of river, vR=3 m/s velocity of charlie, vC=4.5 m/s downstream at an angle of 40oto the…

Q: After flying for 18 min in a wind blowing 38 km/h at an angle of 22° south of east, an airplane…

A: Given: The speed of the wind is 38 kmh. The angle made is 22∘. The distance of the town is 57 km.…

Q: A projectile is fired horizontally - think about what this means about the initial y-velocity (viy)…

A:

Q: A car drives horizontally off of a 6.60 m tall cliff at 12.5 m/s. Assuming air-resistance can be…

A:

Q: San Francisco Giants mascot Lou Seal is trying to shoot t-shirts into the crowd at Oracle Park. Lou…

A:

Q: You are included in the group of students to be rescued in the rooftop of the building. The…

A: The helicopter is traveling horizontally, therefore, the initial speed of the ladder will also be 68…

Q: A clown is fired out of a cannon at a velocity of 100 m/s at an angle of 300 above the horizontal.…

A:

Q: In a game war, one team sets base on a cliff 15m high and 60m away from the oppenents base. At what…

A: Given,height of the cliff, H = 15 mdistance from the opponents base, R = 60 mThe inital launch…

Q: An airplane sets a compass course due west and maintains an airspeed (speed relative to the air) of…

A: GIVEN,

Q: cannonball is shot (from ground level) with an initial horizontal velocity of 39 m/s and an initial…

A:

Q: a boy throws a ball upward into a improvised basketball ring at an angle of 60degrees from the…

A:

Q: A monster truck launches off a ramp 4.5m high at a velocity of 75m/s 52° above the horizontal.This…

A:

Q: A water slide launches a child horizontally above a swimming pool. vertical distance from the top of…

A:

Q: a projectile is launched at the top of a 100m tall building at an angle of 30 degree to the…

A:

Q: If a ping pong ball launcher is at a 45 degree angle and the ping pong ball is travels 1.2 meters in…

A:

Q: I need help on this problem: A pipe discharges storm water into a creek. Water flows horizontally…

A: Given h = 3.5m Vo = 1.9m/s  At the initial moment t = 0 sec  x = 0 m  y = h  At the point where the…

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.