Question an-obj

2.1 Nonlinear Functions - Quadratic graphs and vertex form
0:00

An object is kicked from a platform. The equation h=-4.9t2+7t+9 represents this situation, where h is the height of the object above the ground, in meters, t seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?

A.

0

B.

4.9

C.

7

D.

9

An object is kicked from a platform. The equation h = - 4.9 t 2 +

Medium-difficulty · SAT Math · Nonlinear Functions — Quadratic graphs and vertex form. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice D is correct. It’s given that the equation h = - 4.9 t 2 + 7 t + 9 represents this situation, where h is the height, in meters, of the object t seconds after it is kicked. It follows that the height, in meters, from which the object was kicked is the value of h when t = 0 . Substituting 0 for t in the equation h = - 4.9 t 2 + 7 t + 9 yields h=-4.902+70+9, or h = 9 . Therefore, the object was kicked from a height of 9 meters.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.