medium · SAT Math

A ball is launched into the air, and its height above the ground, in feet, is modeled by h(t)=-16t^2+48t+4, where t is the time in seconds after launch. The ball reaches its maximum height 1.5 seconds after launch.

What is the ball's maximum height, in feet?

  1. 4 feet
  2. 40 feet
  3. 44 feet
  4. 36 feet

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