65 844
Assignments Done
99,1%
Successfully Done
In October 2018

Answer to Question #2904 in Mechanics | Relativity for pradeep

Question #2904
A projectile is fired uphill over ground with slope at an angle α to the horizontal, Find the direction in which it should be aimed to achieve the maximum range.
Expert's answer
A projectile is fired uphill over ground with slope at an angle α to the horizontal. Find the direction in which it should be aimed to achieve the maximum range.

Let's denote the distance as S and write the equations of the motion under the gravitational acceleration:
H = h0 + Vy*t - gt2/2
S = Vx*t.
Here Vx = V0*cos(α), Vy = V0*sin(α), h0 = 0, H = 0.

0& =& Vo sin(α)t - gt²/2; &
t =0;& t = 2V0*sin(α)/g
S = V0*cos(α)t &
S& = 2V0*cos(α)V0*sin(α)/g = V0*sin(2α)/ g , the maximum value of& sin(2α) is 1 at 2α = 90, hence α = 45 degrees.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question

Submit
Privacy policy Terms and Conditions