After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of time is given by the following equation.
vector v=1.9i m/s-9.8tj m/s^2
The ball's displacement away from the edge of the table, during the time interval of 0.390 s during which it is in flight, is given by the following integral.
change of vector r = integral from 0 to .390 S of vector vdt
To perform the integral, you can use the calculus theorem below.
integral of A + Bf(x) dx = integral Adx + B integral of f(x) dx
You can think of the units and unit vectors as constants, represented by A and B. Do the integration to calculate the displacement of the ball.
find i hat
and find j hat
2007-09-06
14:46:42
·
1 answers
·
asked by
surfing86
2