### Home > CALC > Chapter 5 > Lesson 5.3.1 > Problem5-114

5-114.

Carol threw an eraser straight up with a starting velocity of $12$ m/sec and a starting height of one meter.

1. How high was the eraser after $1$ second? After $2$ seconds?

Notice that the units are in meters, not feet. Which generic falling object (in earth) equation should we use?
$s(t)=-\frac{32}{2}t^{2}+v_{0}t+s_{0}$ or $s(t)=-\frac{9.8}{2}t^{2}+v_{0}t+s_{0}$

Set up the generic falling object (on Earth) equation, plugging in values for initial velocity, $v_0$; and initial position, $s_0$.

Evaluate at $t = 1$ and $t = 2$.

2. When did the eraser reach its maximum height? What was the maximum height?

Optimize the position.

Be sure to answer both questions.