.A swimmer can swim at 3 m/s in still water (Across the river). A river is 150 m wide and the current is 1 m/s. The swimmer heads out from one bank perpendicular to the current. a) What is the resultant velocity of the swimmer? b) How long will it take the swimmer to cross the nver? c) How far downstream will the swimmer land on the opposite bank?

Q: In the question as follows , use the weight of the rocket to answer each question. (Use 4000 miles…

A:

Q: (b) If its' owner uses 3 pipes of radius 4cm, with water flowing at a rate of 30cm/s, how long will…

A: (a) Area of circuler face= pi*r2  =pi*102 = 314 cm2.                    (pi=3.14)

Q: If 27 J of work are needed to stretch a spring from 13 cm to 19 cm and 45 J are needed to stretch it…

A: Given: Work done to stretch spring from 13cm to 19cm = 27J Work doen to stretch spring from 19cm to…

Q: Can the distance traveled by a particle ever be less than its displacement? When are they equal?

A: No, the magnitude of the displacement is always less than or equal to the distance traveled.

Q: A force of 2 N will stretch a rubber band 2 cm (0.02 m). Assuming that Hooke’s Law applies, how far…

A: Given:

Q: A baseball is thrown straight downward with an initial speed of 40 ft/s from the top of the…

A: Let t be the time taken by the ball to reach the ground and the velocity of the ball is v. Now, the…

Q: In order to kill a bird 20m up in the air, a boy uses his catapult to shoot a pebble vertically…

A: given that  bird is at h=20m up in the air. a boy uses his catapult to shoot a pebble vertically…

Q: A particle has a velocity at time of 4, + 2t meters per minute, where is in minutes. Estimate how…

A: To find the distance traveled using 4 intervals

Q: 19. A 10-ft chain weighs 25 lb and hangs from a ceiling. Find the work done in lifting the lower end…

A: The following figure shows the chain is hanging from a ceiling,

Q: The rectangular tank shown here, with its top atground level, is used to catch runoff water. Assume…

A:

Q: A force is applied to a particle, which moves in a straight line, in such a way that after each…

A: A geometric series is convergent if common ratio is less than 1. Sum of infinite geometric series is…

Q: A rock is tossed at an initial velocity of 60 m/s at an angle of 10° with the ground. After 0.9…

A: The solution of above question is written below.

Q: 21. In basebalI, a batter stands 2 feet from home plate as a pitch is thrown with a velocity of 130…

A: Answer is mentioned below

Q: The rectangular tank shown here, with its top atground level, is used to catch runoff water. Assume…

A:

Q: 3. If a person is running west in downtown Austin at 2.5 km/hr relative to the ground and from his…

A:

Q: A boat heads north across a river at a rate of 4 miles per hour. If the current is flowing east at a…

A:

Q: The side of a cube decreases at a rate of 9 m/sec. Find the rate at which the volume changes, when…

A: If the rate is decreasing then it will be the negative.

Q: Compute the circumradius of a cube whose inradius is equal to 2, without using the fact that the…

A: This is a geometry problem

Q: A 7,453 newton car is initially at rest. How much force (in Newton) is required to move the car by…

A:

Q: An automobile weighing 5500 lb is driven down a 5° incline at a speed 60 mi/h when the brakes are…

A: Weight of the automobile = 5500 lb (pound-mass) = 2494.758 kg Velocity of the automobile = 60 mi/h =…

Q: A train, starting at noon, travels north at 40 ml per hr. Another train, starting from the same…

A:

Q: A flexible tube of length 4 m is bent into an L-shape. Where shouldthe bend be made to minimize the…

A: A flexible tube of length 4m is bent into an L-shape. Let x,y be the length of sides of L-shape.…

Q: How much work is required to pump all the water from a right circular cylindrical tank, that is 8…

A:

Q: A body has a mass of 11 kg falls freely from rest. After falling 553 m, what will its velocity be…

A: There are two methods for calculating the velocity.In first method by using the equation of motion…

Q: 2. A airplane, flying with the wind, took 2 hours to travel 1000 km and 2.5 hrs in flying back. What…

A:

Q: According to Cavalieri's Principle, which pair of shapes would have equal volumes?

A: the volume of the cone, pyramid , cylinder , sphere , rectangular prism , are given by  volume of…

Q: 4. A force of 50lbs is required to hold a spring stretched 5inches beyond its natural length. How…

A: Force required to stretched 5 inches beyond it's natural length = 50 lbs,

Q: A 20-m-long, 50-kg chain hangs vertically from a cylinder attached to a winch. How much work is…

A: Consider the provided information, To compute the work by using the formula, w=∫0LρgL-ydy Let y=0 be…

Q: A force of 20 N will stretch a rubber band 10 cm (0.10 m). Assuming that Hooke's law applies, how…

A:

Q: 2. The height of a cone shaped tank for liquid storage in a chemical factory is 9 ft with a diameter…

A: Topic:- volume of cone

Q: A force of 40 lb is required to stretch a spring 2 feet beyond its natrual length. How much work is…

A:

Q: A baseball diamond has equal sides of 90ft in length and each pair of adjacent sides are…

A:

Q: According to Cavalieri’s sensible how would you compare the volumes of the stack of coins?

A:

Q: A steel ball of mass 4 kg is dropped from a building. If the air resistance is equal to 0.371v, what…

A: Mass of ball m=4 kg Air Resistance =0.371v Now, the formula to find  velocity of ball at time t is:…

Q: At noon,ship a is 130 km west of ship b.Ship a is sailing east at 25 km/h and ship b is sailing…

A:

Q: A cylindrical gasoline tank, lying horizontally, 0.90 m. in diameter and 3 m long is filled to a…

A: Topic -  volume of geometrical structure

Q: A (square) baseball diamond has sides that are 90 feet long . A player running from second base to…

A: Let X(t) be the distance from player’s to home plate at time t (in seconds).Given that the length of…

Q: A force of 9 lb is required to hold a spring stretched 6 in. beyond its natural length. How much…

A:

Q: A trough, 10 ft long, has semi-elliptical ends which are 3 feet deep and 4 feet wide. If the trough…

A:

Q: ular settling tank are: Length 24, Width 6 m and depth 3 m. If 3 hours detention time for tank is…

A: Here the length of the rectangular settling tank L=24 m the breadth of the rectangular settling tank…

Q: 2. How much work is done when a hoist lifts a 200-kg rock to a height of 3 m?

A:

Q: A baseball diamond has equal sides of 90ft in length and each pair of adjacent sides are…

A:

Q: 5. must the ball be launched to land 450 ft from the base of the building? A golf ball is hit in a…

A:

Q: A pile of snow is plowed into the shape of a right cone. How many trucks with a capacity of 10 yd3…

A: Here we will find number of trucks required ,

Q: A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft…

A: Given: A goat is tethered to a barn by a 12-ft chain. Also the chain is connected to the barn at a…

Q: 2. A 20-foot chain with density 4 lb/ft hangs off the roof of a building. How much work is required…

A: Given a 20 foot chain with density 4 lb/ft hangs off the roof of a building.

Q: A train traveling up in inclined of 4° travels a horizontal distance of 4 km. how much altitude has…

A:

Q: A spring has a natural length of 20 cm. If a 25-dyne force is required to keep it stretched to a…

A: We are only allowed to solve one question at a time so we will answer only the first question.…

Q: Suppose that you just completed a nonstop bicycle trip of 5.5 km. You know that each wheel of your…

A: Given Data: The distance covered by the bicycle is: d=5.5 km=5500 m The radius of the wheels of a…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.