A shot putter throws the shot (mass=7.3kg) with an initial speed of 14.4 m/s at a 34.0 degree angle to the horizontal. Calculate the horizontal distance traveled by the shot if it leaves the athlete's hand at a height of 2.10m above the ground.

Answer 1

Who cares what the mass is ?
horizontal problem:
u = 14.4 cos 34 forever, calculate u

vertical problem:
Vi = 14.4 sin 34 initial speed up --- calculate Vi
h = 2.10 + Vi t - 4.9 t^2
at ground
0 = 2.10 + Vi t - 4.9 t^2
solve quadratic for t
go back to horizontal equation with that t
range = u t