Question

2. 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 point)
1.3 ft
2.6 ft
26.0 ft
27.6 ft
3. 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 point)
1.3 secs
2.6 secs
16.0 secs
27.6 secs

Answer 1

well for mechanics there are 3 big equations to be used for motions:
\[v = v_{0} + a \times t\]
\[x = v_{0} \times t + \frac{ a \times t^{2}}{ 2}\]
\[v^{2} = v_{0}^{2} + 2 \times a \times x\]

Answer 2

when it comes to vertical motion g - gravitational acceleration replaces a, and h - height replaces x ( distance)

Answer 3

i dont get any of that :(

Answer 4

I'm really bad at math... i've been struggling lately

Answer 5

but here you have to use conservation of energy: \[E_{inital} = E_{final} \]
initially the ball has only kinetic energy because the initial height is 0 and in the end the ball has stopped moving because it has reached the maximum height so it has only potential energy:
\[E_{k} = E_{p} => \frac{ m \times v^{2} }{ 2 } = m \times g \times h\]
simplify by m and get:\[h = \frac{ v^{2} }{ 2 \times g } \]

Answer 6

so im confused.... idk what the answer would be.... :l