oh and 2nd problem
a) What is the acceleration of a sprinter running at 10 m/s when rounding a bend with a turn radius of 25m? b)In what direction does the acceleration vector point?
I got a), it's 4 m/s2. But what does b) asking?
Homework Statement
a certain airplane has a speed of 180 mi/h and is diving at an angle of 30.0 degrees below the horizontal when a radar decoy is released. The horizontal distance between the release point and the point where the decoy strikes the ground is 2300 ft. (a) How high was the...
Homework Statement
Evaluate the following integrals or state that they diverge. Use proper notation.
Integral from 0 to 2 of (x+1)/Square root(4-x^2)
Homework Equations
The Attempt at a Solution
I just substituted x = 2sin(theta) thus dx = 2cos(theta)
I got to the...
1. Find the exact length of the curve analytically by antidifferentiation. You will need to simplify the integrand algebraically before finding an antiderivative.
y = the integral from -2 to x of the SQUARE ROOT (3t^4-1)dt, -2 < x < -1
note that the "<" is actually less than or equal to...
and second problem:
The twice differentiable function f is defined for all real numbers and stisfied the following conditions:
f(0) = 2 f'(0) = -4 f''(0) = 3
a) the function g is given by g(x) = e^(ax) + f(x) for all real numbers, where a is a constant. Find g'(0) and g''(0) in terms of a...
Rocket A has positive velocity v(t) after being launched upward from an initial height of 0 feet at t=0 seconds. The velocity of the rocket is recorded for selected values of t over the interval 0 <(or = to) t <(or = to) 80 seconds, as shown in the table below.
t (seconds) 0 10 20 30...