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Math: distance,rate,time

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Math
Two cars leave a town at the same time and travel at constant speeds along straight roads that meet at an angle of 60° in the town. If one car travels twice as fast as the other and the distance between them increases at the rate of 63 mi/h, how fast is the slower car traveling?

math
A cyclist and a jogger start from a town at the same time and headed for a destination 24 mi away. The rate of the cyclist is twice the rate of the jogger. The cyclist arrives 3hrs ahead of the jogger. Whats the rate of the cyclist?

Maths
Two pistons A & B move backwards and forwards in a cyclinder. Distance x cm of the right hand end of piston A from point 0 at time t seconds is x=3sin(2t)+3 and the distance y cm of the left hand end of piston B by formula y=2sin(3t-pi/4)+8.5 The pistons are set in motion at t...

math
HELP PLEASE! The distance d that an object falls is directly proportional to the square of the time of the fall,t. A person who is parachuting for the first time is told to wait 12 seconds before opening the parachute. If the person falls 64 feet in 2 seconds, find how far he ...

physics
A car accelerates from rest at a constant rate A for some time after which it retards at a constant rate B to come to rest. If the time elapsed is T second,calculate the maximum velocity reached?(please try solving this problem by plotting velocity time graph and if you can ...

physics
A car accelerates from rest at a constant rate A for some time after which it retards at a constant rate B to come to rest. If the time elapsed is T second,calculate the maximum velocity reached?(please try solving this problem by plotting velocity time graph and if you can ...

math
The distance to the nearest 100,000 km from the earth to the moon is given as 400,000 km. The average speed to the Nearest 500km/h is 3500km/h. Calculate the least and greatest time it takes the rocket to reach the moon I figured out the formula speed = distance / time but ...

physics
A particle accelerates from rest at a uniform rate of 3 m/s^2 for a distance of 200m. -how fast s the particle going at that time? -how long did it take for the particle to reach that velocity?

Math
A cyclist and a jogger start from a town at the same time and head for a destination 11 mi away. The rate of the cyclist is twice the rate of the jogger. The cyclist arrives 1.1 h before the jogger. Find the rate of the cyclist.

Physics
A personne walking at a speed of 1.7m/s see's a stoped bus 25m from him. At this moment this person starts to run with an acceleration of 1,3m/s2. After 4 secondes this personne has reached his maximum speed et it stays constant, but at the same time the bus starts moving and ...

Physics
Suppose that an object travels from one point in space to another. Make a comparison between the displacement and the distance traveled. a) the displacement is either greater than or equal to the distance traveled b)the displacement is always equal to the distance traveled. c)...

math
Two planes left at the same time from two airports which are 4,500 miles apart and flew toward each other. In 5 hours, they passed each other. The rate of the fast plane was twice the rate of the slow plane. Find the rate of each plane.

science
Suppose that an object travels from one point in space to another. Make a comparison between the displacement and the distance traveled. a) the displacement is either greater than or equal to the distance traveled b)the displacement is always equal to the distance traveled. c)...

Math Ms.Sue
Scientists estimate the rate of a wildebeest running at full speed to be 66 feet per second. Write a function rule to describe the relationship between the time, t, and the distance, d,a wildebeest travels when running at full speed. t = 66d 66 = d • t d =66/t d = 66t

Physics/Math
A person walks up a stalled 20 m long escalator in 79 s. When standing on the same escalator, now moving, the person is carried up in 60 s. How much time would it take that person to walk up the moving escalator? ratewalking= 20/79 ratemoving=20/60 time= distance/added rates ...

chemistry
In a reaction, a chemist is observing the absorbance of CoCl2(aq) as a function of time to determine the rate at which it is being consumed in a reaction. At time t=10 s, the chemist determines that the concentration of CoCl2(aq) is 0.12 M. At time t=20 s, the chemist ...

physics
a point moving on a straight line traversed half the distance with a velocity v0. the remaining part of the distance was covered with velocity v1 for half the time, and with velocity v2 for the other half of the time. find the mean velocity of the point averaged over the whole...

Algebra
1.The table shows the number of miles driven over time. Time(hours):4 , 6 , 8 , 10 Distance(miles):204 , 306 , 408 , 510 Express the relationship between distance and time in simplified form as a unit rate. Determine which statement correctly interprets this relationship. A.51...

math
a motorboat traveling with the curent went 68 miles in 3hrs and 24mins. against the current, it took 4hrs and 15 mins to travel the same distance. find the rate of the motorboat in calm water and the rate of the current.

physics
how do i make a velocity vs. time graph? i have a graph of acceleration vs. time and i am told to find distance between a certain amount of time and i was told to make a graph. is there any other way to find distance or is the velocity vs. time graph necessary?

AICE math
A 30 foot ladder is leaning against a house(see figure). if the base of the ladder is pulled away from the house at a rate of 2 feet per second, the top will move down the wall at a a rate of r= 2x/(sqrt(900-x^2) ft/sec, where s ist the distance between the base of the ladder ...

calculus (gr 12)
Determine the velocity and acceleration as functions of time, t, for s(t) = 45t − 5t^2, where s(t) represents the distance as a function of time. (Hint: velocity and acceleration correspond to the first and second derivatives of the distance)

calculus (gr 12)
Determine the velocity and acceleration as functions of time, t, for s(t) = 45t − 5t^2, where s(t) represents the distance as a function of time. (Hint: velocity and acceleration correspond to the first and second derivatives of the distance)

Physics
what is the word used for distance traveled per time unit? What is speed in a given direction? And what is the word used for A moving object traveling the same distance in equal units of time?

Grade 12 Calculus
Determine the velocity and acceleration as functions of time, t, for s(t) = 45t − 5t^2, where s(t) represents the distance as a function of time. (Hint: velocity and acceleration correspond to the first and second derivatives of the distance)

Physics
1.     Compare the slope of the distance vs. time graph to the average of all your velocity values. Are they close? Why or why not? What does the slope of a distance (or displacement) vs. time graph mean? Explain the answer using your data.

Algebra plz help
1.The table shows the number of miles driven over time. Time(hours):4 , 6 , 8 , 10 Distance(miles):204 , 306 , 408 , 510 Express the relationship between distance and time in simplified form as a unit rate. Determine which statement correctly interprets this relationship. A.51...

Math
A race car starts from rest on a circular track of radius 565 m. The car's speed increases at the constant rate of 0.520 m/s2. At the point where the magnitudes of the centripetal and tangential accelerations are equal, find the following. (a) the speed of the race car m/s (b...

chemistry
In a reaction A to products, ,4.40 min after the reaction is started concentration of A is 0.588M. The rate of reaction at this point is rate= -change in concentration of A/change in time=2.2x10^-2Mmin^-1. Assume that this rate remains constant for a short period of time. A. ...

Math
The volume, V cm3 , of a cone height h is (pi)(h^3)/ 12. If h increases at a constant rate of 0.2 cm/sec and the initial height is 2 cm, express V in terms of t and find the rate of change of V at time t.

physics
A rifle is used to shoot twice at a target, using identical cartridges. The first time, the rifle is aimed parallel to the ground and directly at the center of the bull's eye. The bullet strikes the target at a distance of HA below the center, however. The second time, the ...

algebra
A motorboat traveling a distance of 225 miles in 5 hours while traveling with the current. Against the current, the same trip took 9 hours. Find the rate of the boat in calm water and the rate of the current. rate of boat___ mph rate of current___ mph

Math - Calculus
Water is flowing in a cylindrical pipe of radius 1 inch. Because water is viscous and sticks to the pipe, the rate of flow varies with distance from the center. The speed of the water at distance r inches from the center is 10(1-(r^2)) per second. What is the rate (in cubic ...

Calculus
Someone already asked this question but did not understand the answer given at all. Writing to Learn: In a certain video game a cursor bounces back and forth horizontally across the screen at a constant rate. Its distance d from the center of the screen varies with time t and ...

Algebra
Complete the following table Growth rate is k, Doubling time is T Population Growth Rate Doubling time Country A 1.3% yr ? years Country B ? yr 33 years ​(Round doubling time to the nearest whole number and round growth rate to the nearest​ tenth.) Thank you!

Math
The time T required to drive a fixed distance varies inversely as the speed r. it takes five hours at 60 mph to drive a fixed distance. how long would it take to drive the fixed distance at 40 mph?

Math
Cameron is located 2 miles due East of an intersection between two country roads. He decides to walk in a straight line (cross-country) toward a position 3 miles due North of the intersection; it takes Cameron one hour to reach that location. (a) Find parametric equations for ...

MATH ANALYSIS & TRIG
At noon, Al is 6km north of point O traveling south at 10km/h. Also at noon, Barb is 2km east of point ) traveling east at 5km/h. A) express the distance "d" between Al and Barb as a function of time "t" hours after noon. B) Find the time at which the distance is a minimum

Calculus-Math
The length of a rectangle is given by 2t + 2 and its height is √t, where t is time in seconds and the dimensions are in centimeters. Find the rate of change of the area with respect to time. A'(t)=

math
How would I solve this; John is paid at an hourly rate of $15 and over time rate of 1.5 times his hourly rate. If john puts in w regular hours and y overtime hours in a week, what is his total wage for the week? (Monday-Friday

Math
If Sally can paint a house in 4 hours, & John can paint the same house in 6 hours, how long will it take for both of them to paint the house together? ' I am having trouble remembering how to set up the equation? Amount of work accomplished = (Rate of work) x time The rates of...

math
cycling time distance for Joe mario melanie 0 0 0 0 1 5 7 9 2 10 14 18 3 15 21 27 Find the distance each person travels during the first 3 hours. Explain. And find the distance each person travels in 7 hours. THANK YOU

math
a man can row a bangka at a rate of 5 km/h in still water. It takes 10 minutes longer to row upstream a distance of 2km than he takes to row downstream. What is the rate of the current?

math
A basketball is dropped from an original height of 9 feet and on each bounce, bounces up 2/3 the distance it fell. How far will it have traveled by the time it hits the ground the fourth time?

Calculus
I am sure this is the last time i am bothering you steve for today! you are very helpful. 1) I have to find the population density i which r is 0.2 apart and distance is 1.2km so there are total 7 values from 0 to 1.2 , i am taking right and left end-point approximations and ...

Math
The time t required to drive afixed distance varies inversely as the speed r. It takes 5 hr at a speed of 80 km/h to drive a fixed distance. How long will it take t odrive the same distance at a speed of 70 km/hr? Please help! In an inverse dependence situation, the product of...

Math
A boat travels 45 miles upstream in 5h. The boat travels the same distance downstream in 3hr. What is the rate of the boat in still water? What is the rate of the current? (thank you)

Rate Constants
I'm really stuck with this one. Here's the rate law and the data that is needed. I appreciate any help Rate= k[I2]X{[H+]Y[CH3COCH3]Z Trial Volume of 0.0010 M I2 Volume of 0.050 M HCl Volume of 1.0 M acetone Volume of water Temperature (degrees C) Reaction time A 5.0 10.0 10.0 ...

math
There is proportional relationship between your distance from a thunderstorm and the time from when you see lightning and hear thunder. If there are 9 seconds between lightning and thunder, the storm is about 3 kilometers away. If you double the amount of time between ...

math
Water is Pumped into an underground tank at a constant rate of 8 gallons per minute.Water leaks out of the tank at the rate of (t+1)^½ gallons per minute, for 0<t<120 minutes. At time t=0, the tank contains 30 gallons of water. A) How many gallons of water leak out of ...

physics
In a relay race, each contestant runs a distance 25.7m while carrying an egg balanced on a spoon, turns around, and comes back to the starting point. Jenny runs the first distance 25.7m in a time t1 = 20.0s . On the return trip she is more confident and takes only time t2 = 14...

Math
Bob was riding his dune buggy. Part of the time he was riding at 10 mph and the remainder of the time at 14 mph. The total distance traveled was 68 miles and it took him 5 hours. How much time was spent traveling at 10 mph?

Physics
sorry for reposting this but im really stuck Simpson drives his car with an Vavg of 48.0 km/h to the east. how long will it take him to drive 144 km on a straight highway? i got the answer to that as 3 hours but i cant do this: how much time would he save by increasing his ...

Math
Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with the time T. For one particular pair of markings, R is 60 mph when T is 8 seconds. Find the speed of...

Math-Algebra
A car takes 3 hours to travel a distance of 240 km with a speed of 80 km/h while a motorbike can cover the same distance in 4 hours if its travels at a speed of 60 km/h. Explain why the speed and the time it takes for the vehicles to travel a certain distance exhibit an ...

Math 12
A hard rubber ball is dropped from a moving van with a height of 5 metres. The ball rises to 80% of the previous height after each bounce. a) determine the total vertical distance the ball has traveled when it strikes the ground the eighth time. b) estimate the total vertical ...

math,algebra
Is this correct Business and finance. The simples interest I on a principle of P dollars at interest rate r for time t, in years, is given by I= Prt. Find the simple interest on a principal of $6000 at 3% for 2 years. Simple Interest = Principle x Rate x Time (in years)

Math
data regarding the value of a particular color copier is represented in the graph find the rate of chance of the value with respect in time in dollars per year. the rate of change of the value with respect to time is dollars per year

Math - Derivative of a polynomial function(check)
The red squirrel population, p, in a neighborhood park can be modelled by the function p(t)= srqt(210t+44t^2), where t is time in year. a) Determine the rate of growth of the squirrel population at t= 2years Ans: find the 1st derivative and substitute 2 in the function. b) ...

Math
A cyclist and a jogger start from a town at the same time and head for a destination 6 mi away. The rate of the cyclist is twice the rate of the jogger. The cyclist arrives 3 hr ahead of the jogger. find the rate of the cyclist. This is what i got so far but its not adding up...

math
What type of different distance rate problems are there?

General Physics I
A 50-N force acts on a 2-kg crate that starts from rest. When the force has been acting for 2 s the rate at which it is doing work is: I found this question online so I saw the answer is 2500 Watts. What I don't understand is how to come to this conclusion. Power = Work/time. ...

chemistry
1.when the concentraion of acetone was doubled, the time was about _____ the original time and the rate was about _______ the original rate. 2.when the concentraion of H+ was doubled, the time was about _____ the original time and the rate was about _______ the original rate. ...

compound interest
How do I solve these problems? Complete the table for a savings account in which interest is compounded continuously. 1. Initial Investment: $1000 Annual % Rate: 3.5% Time to Double: ? Amount After 10 Years: ? 2. Initial Investment: $750 Annual % Rate: ? Time to Double: 7 3/4 ...

math!!!
Molten plastic is injected into the centre of a circular mold of constant height, H, through a small hole. The rate of injection is such that the radius of the plastic inside the mould increases so that r(t)= 3t^2 -2t^3 where the mold has maximum radius of one unit. Compute ...

Math
Cho is driving a car. He gets to his destination, which is 72 miles away, in 1 hour and 30 minutes. a. The equation d=rt can be used to model Cho's drive, where d us the distance traveled, r is the speed of the car and, and t is the amount of time spent traveling. Substitute ...

Algebra
2. A long distance phone company has a monthly fee of $7.95 and charges a rate of $0.05 per minute. Another long distance company has a monthly fee of $9.95 and charges a rate of $0.03 per minute. At how many minutes would the two companies have equal charges? 15. A boat ...

international economic
2.) This question uses the general monetary model, in which L is no longer assumed constant and money demand is inversely related to the nominal interest rate. Consider the same scenario described in the beginning of the previous question. In addition, the bank deposits in ...

science
Object A and B both start at rest. They both accelerate at the same rate. However , object A accelerates for twice the time as object B. What is the distance traveled by object A compared to that of object B? a) the same distance B) twice as far c) three times as far d) four ...

math
Hoshi walk 10 meters in 3 sec. a. what is her walking rate? b. at this rate how long does it take to walk 100 meters c. suppose she walks the same rate for 50 sec. how far does she walk d. wright an equation that represents the distance D that Hoshi walks in 1 sec

rate of reaction
What is the initial rate of *appearance* of SO3(g)? a reaction and table are given: reaction: 2S02(g)+O2 -------> 2 SO3(g) Table note: i= initial, IRD= initial rate of disappearance; concentrations given in molarity (M) IRD given in M/s. Experiment [SO2]i [O2]i IRD O2 1 0....

science
At the annual turtle races, Poindexter, the record holder, is trying to retain his title. As the race begins, Poindexter starts off racing North with a speed of 0.025 m/s. He retains this speed for 0.5 meters at which time he speeds up to 0.10 m/s. He continues at this rate ...

science
At the annual turtle races, Poindexter, the record holder, is trying to retain his title. As the race begins, Poindexter starts off racing North with a speed of 0.025 m/s. He retains this speed for 0.5 meters at which time he speeds up to 0.10 m/s. He continues at this rate ...

science
At the annual turtle races, Poindexter, the record holder, is trying to retain his title. As the race begins, Poindexter starts off racing North with a speed of 0.025 m/s. He retains this speed for 0.5 meters at which time he speeds up to 0.10 m/s. He continues at this rate ...

science
At the annual turtle races, Poindexter, the record holder, is trying to retain his title. As the race begins, Poindexter starts off racing North with a speed of 0.025 m/s. He retains this speed for 0.5 meters at which time he speeds up to 0.10 m/s. He continues at this rate ...

MATH
If a population consists of ten thousand individuals at time t=0 (P0), and the annual growth rate (excess of births over deaths) is 3% (GR), what will the population be after 1, 15, and a 100 years (n)? Calculate the "doubling time" for this growth rate. Given this growth rate...

Math 310 Math for Teachers
At the same time but different speeds, two trains X and Y left from different stations, A and B, and moved facing each other (to opposite directions). They first met at the point that was 120 miles from station A. When X and Y reached the destinations (B and A respectively), ...

Algebra
Need help with these please--- 2. A long distance phone company has a monthly fee of $7.95 and charges a rate of $0.05 per minute. Another long distance company has a monthly fee of $9.95 and charges a rate of $0.03 per minute. At how many minutes would the two companies have ...

physics
the velocity time graph of a car start from rest and it accelerate uniformly at a rate 3m/s2 for 5seonds if attain the velocity which maintain for 1m the car then brought to rest by a uniform retardation after another 30m. draw the velocity time graph. find the acceleration. ...

Math
As a tornado moves, its speed increases. The functions S(d) = 93logd+65 relates the speed of the wind, S, in miles per hour, near the center of a tornado to the distance that the tornado has traveled,d, in miles. a) Graph this function. b) Calculate the average rate of change ...

algebra
A car is stopped at a traffic light. The light changes to green and the driver starts to drive, accelerating at a rate of 4 m/s^2. Write an equation for the distance the car travels in time.

Math
A mathematical model for concentration of administered cortisone in humans over a 24-hour period uses the function C= [(D x a) / V(a-b)] (e^(-bt)-e^(-at) where C is the concentration, D is the dose given at time t=0, V is the volume of distribution (volume divided by ...

Math
A speed boat travels at a rate of 20 km per hour in still water. It travels 55 km upstream the same time it travels 90 km downstream. What is the rate of current?

Maths
A cyclist rides one lap of a circular track at a constant speed so that the riders distance, d meters, from the starting point at any time, t seconds, after starting is: d= (50) - ( 50cos x (pi)t/30, find: (a) the time taken to complete one lap (b) the radius of the track (c) ...

Calculus! Please help me!
A person on a bicycle is 100 meters west of a person in a car. the person on the bike starts to ride at 8 meters per second directly east and at the same time the person in the car starts to drive directly north at 18 meters per second. Write the distance between the bicycle ...

Math
a balloon is rising vertically at the rate of 2 m/s. an observer is standing on the ground 100m away from a point directly below the balloon. at what rate is the distance between the observer and the balloon changing when the balloon is 160m high?

Math
When an object is droped from a certain height , it's distance from the starting point varies as the square of the time it has been falling . If a body falls through 288m in 6 seconds then what is the distance covered by the object in the tenth second?

displacement...
At the annual turtle races, Poindexter, the record holder, is trying to retain his title. As the race begins, Poindexter starts off racing North with a speed of 0.025 m/s. He retains this speed for 0.5 meters at which time he speeds up to 0.10 m/s. He continues at this rate ...

math
A boat's crew rowed 12 miles downstream, with the current, in 1.5 hours. The return trip upstream, against the current covered the same distance, but took 4 hours. Find the crew's rowing rate in still water and the rate of the current... The crew's rowing rate in still water ...

Physics
By trial and error, a frog learns that it can leap a maximum horizontal distance of 1.4 m. If, in the course of an hour, the frog spends 32% of the time resting and 68% of the time performing identical jumps of that maximum length, in a straight line, what is the distance ...

physics
By trial and error, a frog learns that it can leap a maximum horizontal distance of 1.49 m. If, in the course of an hour, the frog spends 32.5 % of the time resting and 67.5 % of the time performing identical jumps of that maximum length, in a straight line, what is the ...

Physics
By trial and error, a frog learns that it can leap a maximum horizontal distance of 1.26 m. If, in the course of an hour, the frog spends 27.5 % of the time resting and 72.5 % of the time performing identical jumps of that maximum length, in a straight line, what is the ...

College Math (Calculus)
Suppose the length of a rectangular box, with lengths x,y,z are changing at the following rates dx/dt = 2 cm /sec dy/dt = -3 cm /sec dz/dt = 1 cm/ sec when x =4, y=3 z=2, Find i) Rate at which volume is changing wrt time, ii) Rate at which the diagonal length of the box is ...

math
how long will it take to earn $787.50 on $5000 at 5 1/4%(percent) what is the rate it is compounded? annually, semi-annually, monthly, what? dat information is not given aren't you supposed to be using the interest rate formula? if so, then u have two variables missing, the n ...

Calculus
The burning candle A candle is placed a distance l1 from a thin block of wood of height H. The block is a distance l2 from a wall as shown in Figure 7.1. The candle burns down so that the height of the flame, h1 decreases at the rate of 3 cm/hr. Find the rate at which the ...

math
A scuba diver dove from the surface of the ocean to an elevation of -79 9/10 feet at a rate of -18.8 feet per minute. After spending 12.75 minutes at that elevation, the diver ascended to an elevation of -28 9/10 feet. The total time for the dive so far was 19 1/8 minutes. ...

math
Seven people rowed 12 miles downstream with the current in 1.5hrs. Coming back upstream against the current covered the same distance but took 4 hours. Find the people rowing rate in the still water and the rate of the current

Chemistry
Consider the chemical reaction below equated   2N2O5 (g) -> 4NO2 (g) + O2 (g) knowing that a certain period of time, N2O5 consumption rate is 0.10 mole / s, determine for the same time interval: a) the average rate of formation of NO2 b) the average speed O2 formation

Physics
By trial and error, a frog learns that it can leap a maximum horizontal distance of 1.26 m. If, in the course of an hour, the frog spends 27.5 % of the time resting and 72.5 % of the time performing identical jumps of that maximum length, in a straight line, what is the ...

Math
A particle is moving along the x axis so that its distance x in meters,at time t seconds,is x(t)=3,2(sqrt of tan (5t)).Find its velocity at time t=1,5 seconds.

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