Tuesday

January 27, 2015

January 27, 2015

Posted by **BILLY** on Wednesday, December 5, 2012 at 12:12pm.

- physic -
**Elena**, Wednesday, December 5, 2012 at 3:49pmv=200 km/h, v₀= 70 km/h,

Angle that make v and v₀ is 45° =>

An angle α in cosine law is

α (360°-2•45°)/2 =135°

Cosine law:

V=sqrt(v²+v₀²-2vv₀cos α)=

=sqrt[40000+4900-2•200•70•(-0.707)]=254 km/h

Projections:

x: v•cos90 +v₀cos45° =254cosβ

y:vsin90+ v₀sin45°=254sinβ

0.707•70 =254 cosβ

200+0.707•70 = 254 sinβ

49.49 =254 cosβ

249.49 =254 sinβ

sinβ/cosβ=tanβ =249.49/49.49 = 5.04

β =tan⁻¹5.04 = 78.8° (northwest)

**Answer this Question**

**Related Questions**

science - An airplane flies due north at 235 km/h relative to the air. There is ...

Physics - An airplane flies due north at 250 km/h relative to the air. There is ...

Physics - An airplane flies due north at 160 km/h with respect to the air. There...

Physics - An airplane flies due north at 145 km/h with respect to the air. There...

physics - An airplane flies due south at 185 km/h relative to the air. There is ...

Physics - An airplane flies due south at 185 km/h relative to the air. There is ...

Physics HELP! - An airplane flies due north at 240 km/h with respect to the air...

physics - An airplane flies at airspeed (relative to the air) of 400km/h. The ...

Physics - An airplane flies at 200.0 km/h relative to the air. What is the ...

Physics - An airplane flies due north at 260 km/h with respect to the air. There...