Afootball is kicked at an 50 degree angle to the horizontal , travels a horizontal distance of 20m before hitting the ground. what is the initial speed?

Initial speed of football=14.11m/s

Explanation:

Range is the horizontal distance travelled. Therefore using formular for Range,R to determine the speed.

R=V^2Sin2theta/g

Given: R=20m

Theta=50°

20= V^2 Sin(2×50)°/ 9.8

Cross multiply

20×9.8 = V^2 Sin100°

196= V^2×0.9848

V=Sqrt(196/0.9848)

V= 14.11m/s

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min