 Site Navigation                          Word Problem Exercises: Vertical Motion

Question Group #1
Directions and/or Common Information:

The formula to model the height of an object t seconds after it has been dropped is
• h = -16t2 + h0 (in feet) or
• h = -4.9t2 + h0 in (meters)

If an object has been thrown or launched, the formula to model the height of the object t seconds after it has been launched is
• h = -16t2 + vot + h0 (in feet) or
• h = -4.9t2 +vot + h0 (in meters)

In all of these equations:

h = the height of the object at any given point in time
t = time the object is in motion (in seconds)
h0 = the initial height (in feet or meters) from which the ball was dropped or launched
v0 = the initial velocity (in ft/sec or m/sec) of the object when it was launched.
If v0 < 0, the object was propelled downward
v0 = 0, the ball was dropped from rest with no initial velocity
v0 > 0, the ball was propelled upward.
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