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#36975

applications

exponential

hard

90 sec

The function $h (t)$ models the height, in meters, of a ball thrown upwards from the ground $t$ seconds after it is launched. A scientist observes that the ball reaches a height of 30 meters at 2.5 seconds after launch. If this observation is represented using the function $h (t)$ , what is the value of $t$ in the expression $h (t) = 30$ ?

• 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.