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#14326

functions

applications

quadratic equations

hard

120 sec

The trajectory of a toy rocket launched from the ground is modeled by the quadratic function $f (t)$ , representing its height in meters above the ground, $t$ seconds after launch. The rocket reaches a maximum height of $80$ meters after $4$ seconds. The rocket lands back on the ground after $8$ seconds. Based on this model, what is the estimated height of the rocket, in meters, $3$ seconds after launch?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.