A kayaker needs to paddle north across a 100-mm-wide harbor. The tide is going out, creating a tidal current that flows to the east at 2.0 m/sm/s. The kayaker can paddle with a speed of 3.0 m/sm/s. In which direction should he paddle in order to travel straight across the harbor? How long will it take him to cross?

Q: Sheena can row a boat at 2.70 mi/h in still water. She needs to cross a river that is 1.20 mi wide…

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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: A ferryboat has a still water speed of 10.3 km/hr. Its helmsman steers the boat due north across a…

A: Calculate the width of the water. w=vftw=(10.3 km/hr)(1.5 hr)w=15.45 km

Q: A ferry with a velocity of 6.55 m/s travels from one side of a 945 m wide river to the other side at…

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Q: An arrow is shot from a height of 1.9 m toward a cliff of height H. It is shot with a velocity of 32…

A: (a) consider the motion along the y-direction Y = final position of the arrow = H Yo = initial…

Q: You throw a basketball off the roof of a house that is 42m tall.  The basketball leaves your hands…

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Q: Julie is an avid skydiver. She has more than 300 jumps under her belt and has mastered the art of…

A: Terminal velocity is the maximum speed attained by the object as it falls through fluid/air.…

Q: A small boat is moving at a velocity of 3.35 meters per second when it is accelerated by a river…

A: Velocity and acceleration are vector quantities. Thus, we will be using vector addition to solve…

Q: A boat travels down a river. Relative to the riverbank, the water moves at a constant speed of 22…

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Q: A small child is learning to ride a bike for the first time. Her dad decides it would be a good idea…

A: Hill inclined with horizontal  Acceleration of parent a=1.40 m/s2

Q: Spring Gun: A spring gun can launch a projectile with a speed of 12.21 m/s. It is placed at the edge…

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Q: All angles are measured as anti-clockwise rotations from the +x-axis. An object has an initial…

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Q: child is in danger of drowning in the Merimac river. The Merimac river has a current of 3.1 km/hr to…

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

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Q: A mountain bike encounters a jump on a race course that sends him into the air at 44.8 degrees to…

A: The objective of this question is to find the launch speed of the mountain biker. We can solve this…

Q: A human archer atop a castle wall shoots an arrow at a velocity of 65 m/s at an angle of 36.9…

A: Launch velocity (u) = 65 msLaunch angle (θ) = 36.9o above the horizontal Time of flight (t) = 5.82…

Q: A cannon ball is fired from the ground at an angle of 30.0 degrees with respect to the horizontal,…

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Q: An object is thrown from the ground with an initial velocity of 70 m/s and an angle of 40° with the…

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Q: Max throws an apple off the side of a building with a velocity of 30.3 m/s on the horizontal. A few…

A: Initial velocity of the apple = 30.3 i^ Final velocity= 37.8 cos(36.6°) i^- 37.8 sin(36.6°)…

Q: A river flows due east with a speed of 3.0 m/s. A boat travels due north across the river from point…

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Q: On the roof of a 78.4 m tall building, a worker pushes a brick off the edge of the roof with a…

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Q: Alex is flying a plane to a location 1000 km due north of her present location. There is 45km/h wind…

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Q: A tumbleweed sits in the middle of the desert. A strong wind pushes it 10 meters east, and it…

A: Given data: Displacement due to wind  = 10 meters, towards East Displacement due to rolling = 5…

Q: A cannon is mounted on a tower above a wide, level field. The barrel of the cannon is 20 m20 m above…

A: Time of flight, T=2hg Horizontal range, R=u2hg where, h = 20 m and u = 900 m/s

Q: An Olympic long jumper leaves the ground at an angle of 31 degrees above the horizontal and travels…

A: Given value--- angle = 31 degree. horizontal distance = 5.2 m. We have to find--- What was the…

Q: A pilot must fly his plane due north to reach his destination. The plane can fly at 300 km/h in…

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Q: Max throws an apple off the side of a building with a velocity of 30.3 m/s on the horizontal. A few…

A: Given Initial velocity = u = 30.3 m/s along horizontal Final velocity = v = 37.8 m/s at 36.6° below…

Q: A student is late for a test! She takes her motorcycle to get to school, but sees that a bridge on…

A: Since the initial speed is completely horizontal, the initial vertical velocity will be zero. Apply…

Q: Which direction should it head towards if the resultant velocity is 19.74 m/s?

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Q: An Olympic diver is on a diving platform 3.50 m above the water. To start her dive, she runs off of…

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Q: A daredevil is shot out of a cannon at 45.0° to the horizontal with an initial speed of 26.5 m/s. A…

A: Given:Angle of firing of cannon = 45 degreesInitial speed of the cannon = 26.5 m/sHorizontal…

Q: A river flows due south with a speed of 2.0 m/s. A man steers a motorboat across the river. The…

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Q: A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by…

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Q: You are on a new planet and want to know the acceleration due to gravity. You take a ball and kick…

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Q: A high jumper leaves the ground with an initial velocity of 9.3 m/s rightward at an angle of 16°.…

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Q: On a beautiful spring day, Juan is playing a round of golf. He hits the golfball with an initial…

A: Given data:  Initial velocity (u) = 34.4 m/s Angle (θ) = 20.6°, above the horizontal Flight time (t)…

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 light plane attains an airspeed of 460 km/h. The pilot sets out for a destination 800 km to the…

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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.