Quick Questions: Antiderivative of 1/sec^2(x) and Acceleration Negative When Throwing a Ball Up?
Posted on 2005-04-15
I have two quick questions. The first is, if a ball is thrown from a bridge 25 meter above the ground at 49m/s, is the acceleration negative? I thought since it was thrown up, it would be positive, but the book has a similar problem, a ball is thrown upward at a speed of 48ft/s from a cliff 432ft above the ground, and it says the acceleration is -32.
Second, what is the antiderivative of (x^2/sqrt(x)) + (1/sin^2(x))?
I can got:
((2/5)x^(5/2)) + (1/tan(x)) + c
But I am pretty sure (1/tan(x)) isn't right.