"drop a coin" means v0 = 0
"The building has a height of 1070 feet" means s0 = 1070
a)
so you have
s = -16t^2 + 1070
b) set t = 4 and find s
c)
"strike the ground" means s = 0
0 = -16t^2 + 1070
16t^2 = 1070
t^2 = 66.875
t = ....
Use the position equation given below, where s represents the height of the object (in feet),
v0
represents the initial velocity of the object (in feet per second),
s0
represents the initial height of the object (in feet), and t represents the time (in seconds), as the model for the problem.
s = −16t2 + v0t + s0
You drop a coin from the top of a building. The building has a height of 1070 feet.
(a) Use the position equation to write a mathematical model for the height of the coin.
s =
(b) Find the height of the coin after 4 seconds.
s =
ft
(c) How long does it take the coin to strike the ground? (Round your answer to two decimal places.)
t =
sec
1 answer
1 answer