Jack and Jill start walking from the same point. Jack is walking north at a speed of 2 m/s and Jill is walking east at a speed of 1 m/s. How fast is the distance between them changing after 1 minute?

Q: A plane leaves the airport flying due west at 440 mph while another plane leaves the same airport at…

A: Given that the plane A moves west at a speed of 440 mph Plane B moves South at a speed of 392 mph…

Q: Two small planes approach an airport, one flying due west at 120 mi/hr and the other flying due…

A:

Q: A man 6 ft tall is walking toward a building at the rate of 5 ft/s. There is a light on the ground…

A:

Q: Two people start moving from the same point. One heads east, at 24 km/h, the other south at 18 km/h.…

A:

Q: Car A leaves a parking lot at 9 am and travels eastward at the rate of 60 kph. Another vehicle, car…

A:

Q: Due north, Seokjin is walking towards the most famous spot in a park at a rate of 1.3 meters per…

A:

Q: A child who is 4 feet tall walks at a speed of 3 feet per second away from a lamp post that is 20…

A: Given that the child is 4 feet tall and he walks at speed of 3 feet per second from lamp post of 20…

Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

A:

Q: The altitude of a triangle is increasing at a rate of 22 centimeters/minute while the area of the…

A:

Q: Two cars leave from the same position at the same time. One travels due North at 30 mph, while the…

A:

Q: A spotlight on the ground shines on a wall 12 m away. If a girl 1.2 m tall walks from the spotlight…

A:

Q: A spotlight on the ground shines on a wall 12m away. If a man 2m tall walks from the spotlight…

A:

Q: A man 7 ft tall walks at a speed of 5 ft/sec toward a street lamp which is 15 ft above the ground.…

A:

Q: Two people start biking from the same point. One heads east at 13 mph, the other south at 17 mph.…

A: Given, two bikers start at same point. One heading east at 13mph and other heading south at 17 mph.

Q: Two cars A and B, started moving from the same point. Car A traveled 60kph northward, while Car B…

A:

Q: A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight…

A: Here we use the application of derivative

Q: A spotlight on the ground shines on a wall of a building 20 feet away. If a man 6ft tall walks from…

A:

Q: Two people start from the same point. One walks east at 2 km/h and the other walks northeast at 3…

A:

Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

A: Let, a be the spotlight and “ed” be the wall on which the spotlight shines.Therefore, “ad” is the…

Q: Elton John is standing 3 kilometers from a launchpad when a rocket blasts off. The rocket rises…

A: Differentiation of a variable is the rate of change of the variable. Differentiation of a function…

Q: Car 1 is heading due south from Mathtown at a rate of 44 miles per hour. Car 2 is heading due west…

A:

Q: Two cars A and B, started moving from the same point. Car A traveled 60kph northward, while Car B…

A:

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

A: Definition used -        Pythagorean theorem - In a right angle triangle, The Square of the…

Q: A lady 1.65 meters tall walks towards a lamp post 2.65 meters high at a speed of 1.5 m/s. How fast…

A: Given: Height of lady=1.65 m Height of lamp post=2.65 m Speed of lady=1.5 m/s To find: Shadow of…

Q: Please show clear solution. Due north, Sam is walking towards the fountain at a rate of 1.3 meters…

A:

Q: Two people start from the same point. One walks east at 2km/h and the other walks northeast at 3…

A: Given

Q: A van starts off 152 miles directly north from the city of Springfield. It travels due east at a…

A: The distance between the van and the city of Springfield is 152 miles in the north direction. The…

Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

A:

Q: At noon of a certain day, the ship A is 68 miles due north of the ship B. If the ship A sails east…

A:

Q: Suppose that two boats leave a dock at different times. One heads due north, the other due east.…

A: Here I am attaching image so that you understand each and every step.

Q: Starting from the same point, Reden starts walking eastward at 60 cm/s while Neil starts running…

A: To find out the rate of change if distance between Reden and Neil after 2 seconds.

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

A: Let t be the time taken by helicopter Speed = 2 km/min Horizontal distance = x = 2t km Vertical…

Q: Two airplanes are flying in the air at the same height. Airplane A is flying east at 494 mi/h and…

A: Point A represents position of airplane A. Point B represents position of airplane B.Point C…

Q: A spotlight on the ground shines on a wall 10 m away. If a man 3 m tall walks from the spotlight…

A:

Q: A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight…

A:

Q: The side of an equilateral triangle decreases at the rate of 1 inch per second. When the area is 100…

A:

Q: Suppose that stuart is 6 feet tall and is talking towards a 20 foot streetlight at a rate of 6 feet…

A: The diagram for the given condition is shown below.

Q: A boy whose height is 3 feet plays at night with his shadow using flashlight as light source. With…

A:

Q: Ally and Austin begin walking from the same point. Ally is walking north at a speed of 2 m/s and 3.…

A: Given Ally is walking north at speed of 2 m/s Austin walking east at speed of 1 m/s let the…

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: area = altitude*base289 = 9.5*base2base = 18.73 cm

Q: One car leaves a given point and travels north at 30 mph. Another car leaves1 hour later, and…

A:

Q: A car travelling north at 60 mph and a truck travelling east at 45 mph leave an intersection at the…

A: It is given that,

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

A: Given, Two airplanes at the same altitude converging to a point as they fly at right angles to each…

Q: A 7 foot long snake is crawling along the corner of a room. It is moving at a constant 2/3 foot per…

A: Given Length of snake = 7 feet Speed of snake = 23feet per second We need to calculate the rate at…

Q: A man, running 3 meters per second in an open field, runs east for 30 seconds, then turns north.  If…

A: Since the man ran 3m/s east for 90 sec so he is 90 m from the searchlight. Consider the diagram…

Q: Suppose that two boats leave a dock at different times. One heads due north, the other due east.…

A:

Q: Suppose that Stuart is 6 feet tall and is walking towards a 20 foot streetlight at a rate of 6 feet…

A:

Q: Suppose that two boats leave a dock at different times. One heads due north, the other due east.…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.