A coin is tossed upward from a balcony $228 \mathrm { ft }$ high with an initial velocity of $32 \mathrm { ft } / \mathrm { sec }$. During what interval of
A) $4 \leq t \leq 8$
B) $0 \leq t \leq 4$
C) $3 \leq t \leq 4$
D) $0 \leq t \leq 1$

Question

Quizplus · Accepted Answer

The coin's height as a function of time is given by $ h(t) = -16t^2 + 32t + 228 $. To find when the coin is in the air, solve $ h(t) = 0 $. The roots of the equation are approximately $ t = -3 $ and $ t = 4.5 $. Since time cannot be negative, the coin is in the air from $ t = 0 $ to $ t = 4.5 $, which corresponds to interval B.

A Coin Is Tossed Upward from a Balcony 228ft228 \mathrm { ft }228ft

A Coin Is Tossed Upward from a Balcony $228 \mathrm { ft }$