The equation of motion of a particle is st42t3r2t where s is
The equation of motion of a particle is s=t^4-2^t3+r^2-t, where s is in meters and t is in seconds.(a) find the velocity and acceleration as functions of t. (b) Find the acceleration after 1 second.
Solution
s=t^4-2^t3+r^2-t a. Velocity = v = ds/dt = 4t^3 - 6 t^2 -1 Acceleration = a = d^2s/dt^2 = 12t^2 - 12t b. Acceleration = a = 0
