Question

If the height of an object at time t can be represented by
h(t) = -16t2 + 38t + 9, find h(7).

Answer 1

-509

Explanation:

h(t) = -16t² + 38t + 9

h(7) = - 16(49) + 38(7) + 9

h(7) = -784 + 266 + 9

h(7) = -509

Answer 2

It should be noted:

• Given equation: h(t) = -16t² + 38t + 9

To find h(7), let's find "t" by comparing h(7) and h(t).

Compare h(7) and h(t):

• h(7) = h(t)
• => h(7)/h = h(t)/h
• => 7 = t

Now, find h(7) by substituting the value of t into the equation.

Substitute the value of t into the equation:

• h(t) = -16t² + 38t + 9
• => h(t) = (-16)(t²) + (38)(t) + 9
• => h(7) = (-16)(7²) + (38)(7) + 9
• => h(7) = -784 + 266 + 9
• => h(7) = -509

Thus, h(7) is -509.