An object begins moving along a vertical line at time \(t=0\)s and stops at time \(t=6\)s. Its height above the ground at time \(t\) is given by \(h(t)\) depicted in the graph below, where \(h\) is measured in meters.

The average velocity of the object on the interval \(\left [0,6\right ]\) is

\[ v_{\text {av}} = \answer {-\frac {1}{2}}\text {m/s}. \]

Choose the best description of the shape of the graph on the time interval \(\left (0,1\right )\).

Increasing and concave up Increasing and concave down Decreasing and concave up Decreasing and concave down

The object is closest to the ground at

\[ t=\answer {3}\text {s}. \]

The velocity when the object is closest to the ground is

\[ v=\answer {0}\text {m/s}. \]

At which time is the velocity greatest?

0s 2s 3s 4s 6s

Estimated as an integer, the maximum velocity is

\[ v=\answer {2}\text {m/s}. \]

Let \(v(t)\) be the velocity of the object at time \(t\). Choose the greatest value amongst the following choices.

\(v(4.5)\) \(v(4.6)\) \(v(4.7)\) \(v(4.8)\)

The time interval on which the velocity is increasing is

\[ \left (\answer {2},\answer {4}\right ). \]

At which of the following times is the speed greatest?

1s 2s 3s 4s