79.3k views
5 votes
I need help with these questions :
(see image )​

I need help with these questions : (see image )​-example-1
User Darkpool
by
6.3k points

1 Answer

4 votes

Hey There!

_____________________________________

Answer:

_____________________________________

DATA:

Range = R = 20 km = 20 000m

Initial Velocity =
V_i = 500 m/s

Angle = θ(theta) = ?

_____________________________________

The range of projectile is given by,


R = (V_i^2)/(g)xSin2(theta)

Substitute the variables,


20000 = (500^2)/(10) x Sin2(theta)\\\\(200000)/(250000) = Sin2(theta)\\\\(4)/(5) = Sin2(theta)\\\\Sin(theta) = (4)/(2x5)\\\\Sin(theta) = (4)/(10)\\\\Sin(theta) = (2)/(5) \\\\theta = Sin^(-1)((2)/(5))\\\\theta(angle) = 23.57^0

_____________________________________

Best Regards

'Borz'

User Daniel Haughton
by
7.2k points