A river flows due south with a speed of 2.0 m/s. You steer a motorboat across the river; your velocity relative to the water is 4.2 m/s due east. The river is 500 m wide. (d) In which direction should the motorboat head to reach a point on the opposite bank directly east from your starting point? (The boat’s speed relative to the water remains 4.2 m/s.)  (e) What is the new velocity of the boat relative to the earth?

Q: A river has a constant current of 3 kilometers per hour. At what angle to a boat dock should a…

A: Current speed, v1 = 3 km/hr Speed of the boat, v2 = 25 km/hr Let v be the resultant speed of the…

Q: A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal.…

A:

Q: A projectile is launched from ground level at an angle θ to the top of a cliff which is 195 m away…

A:

Q: What is the magnitude and direction of the resultant of these vectors: 100N due south and 100N 30˚…

A: Given: Magnitude of force F1 and F2 = 100 N. Direction of F1 = in south direction. Direction of F2 =…

Q: A plane that is capable of travelling at 140 m/s wishes to travel due north from City A to City B,…

A: Given:-  A plane that is capable of traveling at 140 m/s wishes to travel due north from City A to…

Q: Dominador, who is standing on the edge of an 80-m tall cliff facing the sea, kicks a ball…

A:

Q: On a flight from Washington, DC, to the Bahamas, a pilot wishes to steer the plane directly south.…

A: We are given in the question, The velocity of plane relative to air VPA=300 km/h and Velocity of air…

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: A ball is kicked with an initial horizontal velocity of 16 m/s and initial vertical velocity of 10…

A:

Q: A diver runs horizontally off the end of a diving board with an initial speed of 1.50 m/s. If the…

A:

Q: A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal.…

A:

Q: A ball is kicked with an initial horizontal velocity of 16 m/s and initial vertical velocity of 10…

A: The given values are,

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

A:

Q: An airplane has been directed to fly in a clockwise circle, as seen from above, at constant speed…

A:

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

A:

Q: If a rock is thrown with an initial velocity of 5.4 m/s in the y-direction and 8.2 m/s in the…

A:

Q: A basketball player who is 2.00 m tall is standing on the floor 10.0 m from the basket as in figure.…

A: Given that:- Height of basketball player=h=2m

Q: Sheena can row a boat at 2.10 mi/h in still water. She needs to cross a river that is 1.20 mi wide…

A:

Q: A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal.…

A: Given data: Initial speed of the ball, \u=123 m/s Angle from the horizontal, θ=60o Horizontal…

Q: A cannon located at sea level fires a ball with initial speed 82 m/s and initial angle 45°.The ball…

A: The motion of the particle in the y direction under gravitational acceleration can be expressed as…

Q: A man can row at 8.5 mi/hr in still water. If velocity of stream is 1.5 mi/hr, at what angle with…

A:

Q: A ball has an initial velocity of 160 m/s at an angle of 30 degrees horizontally. This means that…

A: The initial velocity of the ball, u = 160 m/s The angle of projection of the ball, θ = 30o The…

Q: A projectile is given an initial velocity of 41.3 m/s at an angle of 57.7 degrees with respect to…

A: Given:Initial velocity, u= 41.3 m/s Launch angle,θ = 57.7°Final velocity in Y-direction, V = 11.7…

Q: A projectile is launched at 4.5 m/s at an angle of 450 from a table that is 0.76 m tall. Where and…

A:

Q: Mr. Mangan is flying due north with a velocity of 150 m/s relative to the ground, into a west-bound…

A: Given Data: Velocity in North direction is Vn=150 m/s Velocity in West direction is Vw=80 m/s

Q: Two projectiles are launched at 100 m/s, the angle of elevation for the first being 20 degree and…

A: Given:- vo = 100 m/s θ1 = 20o θ2 = 70o

Q: Show that the trajectory of a projectile thrown upward at an angle θ with the horizontal and with an…

A:

Q: Two projectiles are launched at 100 m/s, the angle of elevation for the first being 30 ° and for the…

A: Given information:Angle of projection of first ball (θ1) = 300Angle of projection of second ball…

Q: In an article on the use of the sling as a weapon, the author states that a skilled slinger can…

A: Given data The distance is, R= 384 m Step 1 The horizontal distance is, For minimum velocity, θ=…

Q: A cannonball is launched diagonally with an initial velocity of 57.0m/s. Determine all unknowns.…

A: The answers are below

Q: An airplane flies between two points on the ground that are 500 km apart. The destination is…

A: horizontal distance = 500 Km speed of wind = 10 m/s due west speed of plane = 120 m/s along the…

Q: A projectile is launched at an angle of 300 above the horizontal. Neglecting air resistance, what…

A: A projectile is launched at an angle of 300 above the horizontal. Neglecting air resistance, what…

Q: A ball has an initial velocity of 120 m/s at an angle of 30 degrees horizontally. This means that…

A:

Q: For general projectile motion, which of the following best describes the horizontal component of a…

A: Let the initial velocity of projectile = v Let the initial horizontal component of the velocity = vx…

Q: A student drives 10 km to the north and then 20 km 30 degrees S of E. By using the component method,…

A:

Q: The given vector represents a hot air balloon that experiences a 0.25 m/s acceleration at an angle…

A:

Q: A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal.…

A: Given: The velocity of cannon ball u = 123 m/s. The firing angle = 60

Q: The speed of a cyclist along the horizontal road is 16 km/h, 12 km/h upward and 24 km/h downward.…

A: Given data: The speed of a cyclist along the horizontal road is V1=16 km/h. The speed of a cyclist…

Q: Jojo is riding a boat to travel across a river whose current has velocity of 1.20 m/s westward. If…

A: To determine the angle, sinθ=vwwvB

Q: A rowboat crosses a river with a velocity of 3.60 mi/h at an angle 62.5° north of west relative to…

A: The figure is given below.   Calculate the component of the velocity, vbx, of the boat in the…

Q: A plane must follow a resultant path of 18° east of north at a speed of 455 mph. The wind is blowing…

A: Given data The velocity of the plane is vp = 455 mph The speed of the wind is vw = 52 mph The angle…

Q: A small aircraft for one person is used on a short horizontal flight. On its journey from A to B.…

A:

Q: A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal.…

A: the initial velocity can be expressed as v0→=v0cosθ i^+v0sinθ j^=123 m/scos60 i^+123 m/ssin60…

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.