Arianna kicks a soccer ball off the ground and into the air with an initial velocity of 42 feet per second. Assume the starting
height of the ball is 0 feet. Approximately how long does it take until the soccer ball hits the ground again?
1.3 secs
2.6 secs
16.0 secs
27.6 secs
2 answers:
A=g
v=⌠g dt
v=gt+C, where C=v initial
v=gt+vi
h=⌠v dt
h=gt^2/2+vit+C, where C=h initial
h=gt^2/2+vit+hi
We are told that vi=42 ft/s, hi=0, and we know g≈-32 ft/s^2 so
h(t)=-16t^2+42t
The ball will hit the ground when h=0 so
-16t^2+42t=0
-2t(8t-21)=0, since t>0
8t-21=0
8t=21
t=21/8
t=2.625 sec
t≈2.6 sec (to nearest tenth of a second)
Answer:
Step-by-step explanation:
2.6 seconds is the correct answer for this problem
You might be interested in
The angles x and 55.1 degrees are COMPLEMENTARY ANGLES. Please look up that term if necessary.
Subtract the angle 55.1 degrees from ( what? ) to obtain angle x.
144 - 12g^2.
Because we don't know the value of g, there's nothing else we can do.
Answer:
4 hours of rental
Step-by-step explanation:
y1 = 20 + 13.5x
y2 = 6 + 17x
20 + 13.5x = 6 + 17x
20 - 6 = 17x - 13.5x
14 = 3.5x
x = 4
Costs y1 and y2 are equal on renting for 4 hours
Answer: third one
Step-by-step explanation: