Ms. Walker's science class is doing an egg drop experiment from the balcony of their school. Each egg is protected by a contraption that the students collectively designed. The height of the egg, in feet, after x seconds is given by the expression below. What do the zeros of the expression represent?
Answers
Complete question:
Ms. Walker's science class is doing an egg drop experiment from the balcony of their school. Each egg is protected by a contraption that the students collectively designed. The height of the egg, in feet, after x seconds is given by the expression below.
-16x^2+35
What do the zeros of the expression represent?
A. the horizontal distance travelled by the egg
B. the time at which the egg reaches its maximum height
C. the maximum height of the egg
D. the time at which the egg reaches the ground
Answer:
The zeros of the expression represent D. the time at which the egg reaches the ground.
Step-by-step explanation:
The height of the egg after x seconds is given by the expression below:
h(x) = -16x² + 35
Where, x = Time in seconds
Now, we need to find the zeros of the expression, so,
0 = -16x² + 35
16x² = 35
x² = 35/16
x² = 2.1875
∴ x = √2.1875 = 1.479
Thus, the egg reaches the ground after 1.479 s after the students threw the eggs.