Question

Connor is the paper

football champion of
all of Black Middle
School. If he thumps a
paper football with an
initial velocity of 3.0
meters per second at
an angle of 30
degrees, how far will
the football travel?

Answer 1

Step-by-step explanation:

First we have to descompose velocity, and get Velocity of X and Y side:

Vx = V * cos 30°

Vx = 3 m/s * 0,866...

Vx = 2,598 m/s

Vy = V * sen 30°

Vy = 3 m/s * 0,5

Vy = 1,5 m/s

Lets calculate time of fly:

Firat, lets calulate up time:

uT = (Fv - Iv) / g

uT = (0 m/s - 1,5 m/s) / -9,8 m/s^2

uT = -1,5 m/s / -9,8 m/s^2

uT = 0,15 s

Like up time is equal to down time, time of fly will be:

T =uT + dT

T = 0,15 s + 0,15 s

T = 0,3 s

Now for calculate how far will reach, lets aplicate the formula:

d = Vx * T

d = 2,598 m/s * 0,3 s

d = 0,779 meters

Will reach 0,779 meters

Gud luck