Question

In: Math

Two cars start driving from the same point. One travels north at 30 miles per hour,...

Two cars start driving from the same point. One travels north at 30 miles per hour, and the other travels east at 45 miles per hour. At what rate is the distance between the cars increasing two hours later?
(a) Draw a diagram, label quantities.
(b) Write rates as derivatives.
(c) Find an equation involving the quantities; differentiate on both sides with respect to t.
(d) Plug in known information and solve for the unknown. [As usual, numeric simplification not required.]

Solutions

Expert Solution

Found


Related Solutions

Two cars start moving from the same point. One travels south at 56 mi/h and the...
Two cars start moving from the same point. One travels south at 56 mi/h and the other travels west at 42 mi/h. At what rate is the distance between the cars increasing three hours later?b\
A train starting at noon, travels north at 40 miles per hour. Another train starting from...
A train starting at noon, travels north at 40 miles per hour. Another train starting from the same point at 2 PM travels east at 50 miles per hour. Find, to the nearest mile per hour, how fast the two trains are separating at 3 PM. How fast the trains are separating after long time?
1. Suppose two automobiles leave from the same point at the same time. If one travels...
1. Suppose two automobiles leave from the same point at the same time. If one travels north at 60 miles per hour and the other travels east at 45 miles per hour, how fast will the distance between them be changing after 3 hours? 2. Find the critical values of , find the intervals on which f(x)is increasing and decreasing, and any local maximum or minimum values. Critical values? Increasing on? Decreasing on? Max? Min? Please show all work.
an insurance company crashed four cars in succession at 5 miles per hour. the cost of...
an insurance company crashed four cars in succession at 5 miles per hour. the cost of repair of the four crashes was $429 $459 $318. Compute the range, sample variance, and sample standard deviation cost of repairs
an insurance company crashed four cars in succession at 5 miles per hour. the cost of...
an insurance company crashed four cars in succession at 5 miles per hour. the cost of repair for each of the four crashes was $428, $463, $413, $230. Compute the range, sample variance and the sample standard devition cost of repair
company crashed four cars in succession at 5 miles per hour the cost of repair for...
company crashed four cars in succession at 5 miles per hour the cost of repair for each of the four crashes was $425 $455 400 $16 $232 compute the range sample variance and variance standard deviation cost of repair
Two people start at rest from the same point on a circular track of radius R...
Two people start at rest from the same point on a circular track of radius R = 20 m. Person #1 runs counterclockwise around the track with a con- stant angular acceleration of α1 = 0.0010 rad/s2. At the same time, Person #2 runs clockwise around the track with a constant angular acceleration of α2 = 0.0025 rad/s2. Determine the speed of each person when they meet for the first time after they start running. I know from the class...
Two trains of equal weight, moving with velocities of 30 miles an hour each and in...
Two trains of equal weight, moving with velocities of 30 miles an hour each and in opposite directions collide. Show that the loss of energy caused by the impact is the same as in the case of a train moving at 60 miles an hour striking another at rest. In the latter case, find the velocity with which the debris will be moved along the track. Also show that before impact the total energy in the one case is doubled...
1. Two cars are moving on a road and both start at the same place at...
1. Two cars are moving on a road and both start at the same place at time ?=0. The velocity of car number 1 is given by ?1(?)=sin?+1 and the velocity of car number 2 is given by ?2(?)=cos?+1. a. Which car is ahead at ?=?2 ,?=?,?=3?? [3 marks] b. Write down a definite integral which gives the total distance traveled by car number 1 from ?=0 to ?=10. [3 marks] b. Write down a definite integral which gives the...
During one​ year, there were 10 hurricanes recorded. Their maximum wind​ speeds, in miles per hour​...
During one​ year, there were 10 hurricanes recorded. Their maximum wind​ speeds, in miles per hour​ (mph), were as shown in the following table. Consider these storms a population of interest. Obtain the following parameters for the maximum wind speeds. Use the appropriate mathematical notation for the parameters to express your answers. a. Mean b. Standard deviation c. Median d. Mode e. IQR Max wind (mph) 80 100 115 85 105 85 110 90 95 110 a. The population mean...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT