1019 Velocity and acceleration from the equation of distance | Motion with Variable Acceleration

Problem 1019
The motion of a particle is given by the equation $s = 2t^4 - \frac{1}{6}t^3 + 2t^2$ where $s$ is in meter and $t$ in seconds. Compute the values of $v$ and $a$ when $t = 2 \, \text{ sec}$.

Solution 1019



A train travel between two stations 1/2 miles apart in minimum time of 41 seconds if the train accelerate and decelerate 8 feet per second squared starting at rest at the first station and coming to a stop at second station what is the minimum speed in MPH?

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