An artillery shell is fired at an angle of 56.7 degrees

above the horizontal ground with an initial
speed of 1960 m/s. The acceleration of gravity is 9.8 m/s^2.
Find the total time of flight of the shell and the horizontal range,
neglecting air resistance.

1 answer

Vo = 1960m/s[56.7o].
Xo = 1960*Cos56.7 = 1076 m/s
Yo = 1960*sin56.7 = 1638 m/s.

Y = Yo + g*Tr = 0.
1638 + (-9.8)Tr = 0,
Tr = 167.2 s. = Rise time.

Tf = Tr = 167.2 s. = Fall time.

T = Tr + Tf = 167.2 + 167.2 = 334.4 s. = Time in flight.

Range = Xo * T = 1076 * 334.4 =