Calculus
# Displacement, Velocity, Acceleration

$16$ seconds?

The above is the velocity-time graph of a runner. How far does this runner travel forThe figure’s vertical scaling is set by $v_{s} = 8.0 \text{ m/s.}$

$30 \text{ m/s}$ from the edge of a cliff $19 \text{ m}$ high, as shown in the above diagram. If the the velocity of the ball $t$ seconds after the ball leaves his hand is $v=30-10t$ (in $\text{m/s}$), what is the distance of the ball from the ground $3$ seconds after the ball leaves his hand?

Sam throws a ball straight upward at a speed of