The height h in feet of a baseball on Earth after t seconds can be modeled by the function h(t) = -16(t – 1.5)2 + 36, where -16 is a constant in ft/s2 due to Earth's gravity. The gravity on Mars is only 0.38 times that on Earth. If the same baseball were thrown on Mars, it would reach a maximum height 59 feet higher and 2.5 seconds later than on Earth. Write a height function for the baseball thrown on Mars.
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Label earth's gravity, height, and time based on the given equation \(h(t) = -16(t – 1.5)^2 + 36\)
What is -16 ? they've already told you is a constant in ft/s2 due to Earth's gravity. That means, -16 ft/s^2 is the gravity
First, let's look closely on what the graph supposed to represent.
h(t) = -16(t – 1.5)2 + 36
(h,k) is the vertex
We know from an upside down parabola, the vertex is at the maximum height.
h (x axis) represent the time in which the objects change Height on k ( y-axis)