Question

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 what maximum height does the soccer ball reach?

1.3 ft

2.6 ft

26.0 ft

27.6 ft

Answer 1

s = ut+1/2at^2
where u = 42 and a=-9.81
Now, find the maximum value of s

Answer 2

I assume acceleration due to gravity is 9.81m/s^2

Answer 3

wouldn't s=0?

Answer 4

yes s=0 initially.... but it increases as it is thrown up until it reaches the maximum height

Answer 5

u can use calculus to find maximum value of s or use completing square form

Answer 6

ummm......i'm still lost, sorry.....

Answer 7

what value of acceleration due to gravity is given?

Answer 8

42?

Answer 9

looks like I made a mistake

Answer 10

acceleration due to gravity in terms of feet per second square is 32.2 feet per second square

Answer 11

So, s= 42t - 16.1t^2

Answer 12

Now find maximum value of s

Answer 13

you can use this...
\[v ^{2}=u ^{2}+2g h\]
here the initial velocity u =42 feet per second
final velocity at maximum height v=0
g=-32 feet per second per second
find h(height)