Estimate its range?

Question

A projectile was launched from level ground with an initial speed of 340 m/s at 35 degrees to the horizontal. Estimate its range and time of flight.

Answer 1

y-component of velocity:    340m/s * sin 35° = 340 * .5736 ≈ 195 m/s

 

195m/s - (9.8m/s² ) t = 0

 

195 = 9.8t

 

t = 195/9.8

 

t ≈ 19.9s

 

time of flight is 2t = 2(19.9s) = 39.8 seconds

 

range is:

 

39.8s * 340m/s * cos 35º = 11,084.77 meters

 

 

Answer 2

Hey Sun -- here's an estimate with no calculator buttons ... sin 35 ~ 35/60 ~ 0.6 ... Vup ~ 200m/s ... for g=10 m/s/s, uptime is 20s ... airtime is 40s ... cos 35 = sqrt(1 -0.6*0.6) ~ 0.8 ... Vx ~ 275m/s ... range over 40s ==> 550 ... 1100 ... 11km <== Regards, sir :)