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#37815

systems

linear equations

quadratic equations

hard

150 sec

The height $h$ (in meters) of a projectile launched from the ground is modeled by the function $h (t) = - 5 t^{2} + 20 t + 15$ , where $t$ is the time in seconds after launch. A drone flies horizontally at a constant height of $H$ meters. If the projectile and the drone are at the same height at exactly one time $t$ , what is the value of $H$ ?

• 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.