Question

an object moves along the y-axis with coordinate position y(t) and velocity v(t)= √t-cos(e^t) for t greater than or equal to 0. at time t=1...
A. moving downward with negative acceleration
B. moving upward with negative acceleration
C. moving downward with positive acceleration
D. moving upward with positive acceleration
E. at rest

Answer 1

take the derivative.

Answer 2

After you find the derivative of the velocity with respect to t, use your coordinate system to determine which direction of the y-axis is positive. You can plug t = 1 into your velocity equation to determine which direction the object is moving. If you take the integral of your velocity function, you can plug in t = 1 to see exactly where the object is.