An object with mass m is dropped from rest and we assume that the air resistance is proportional to the speed of the object. If s (t) is the distance dropped after t seconds, then the speed is v = s(t) and the acceleration is a = v'(t). If g is the acceleration due to gravity, then the downward force on the object is mg - cv, where c is a positive constant, and Newton's Second Law gives 
Find the limiting velocity.
v = mg/c
Mathematics
You might also like to view...
Factor by grouping.15a3 + 12a2b - 25ab2 - 20b3
A. (3a2 + 5b2)(5a - 4b) B. (3a2 - 5b2)(5a + 4b) C. (15a2 - 5b2)(a + 4b) D. (3a2 - 5b)(5a + 4b)
Mathematics
Multiply the complex numbers and simplify powers of i.(6 + 
) (3 + 
)
A. (18 - 
)+ (6
+ 3 
)i
B. (18 + 
)- 32i
C. 32 + 126i
D. 4 - 9
i
Mathematics
Provide an appropriate response.What values of a and b maximize the value of 
dx?
Fill in the blank(s) with the appropriate word(s).
Mathematics
Solve the problem.The manufacturer's cost, C, in dollars, can be found using the formula 
where n is he number of parts produced. Find the cost when 729 parts are produced.
A. $3950 B. $56 C. $6200 D. $15,200
Mathematics