Recent content by leitz

Can you give me another hint please?

Homework Statement Prove : ||V - U|| => | ||V||-||U|| | V and U are vectors Homework Equations Maybe the dot product formula: ||A||*||B||cosθThe Attempt at a Solution ==> ||V - U||2 >= (||V||-||U||)2 ==> (V-U) . (V-U) >= ||V||2 +||U||2 - 2||U||*||V|| ==> V.V + U.U -2U.V >= V.V + U.U -...

Homework Statement "A person stands at the base of a hill that is a straight incline making an angle ϕ with the horizontal. For a given initial speed v₀, at what angle θ (to the horizontal) should objects be thrown so that the distance d they land up the hill is as large as possible?" I've...

Okay, I know what confuses me now. Before, I thought the path of the projectile is what I'm supposed to be looking at. Instead, I should be looking at the graph of the relationship between θ and x. At θ=pi/4, the maximum value of x is achieved. If you only look at the path of the projectile...

I already knew that. My question is, how is that relevant to how we get the optimal angle for max range?

Homework Statement After i get the formula x = Vo2sin(2θ)/g, I was told that I can take the derivative of x and let that equal to zero to get the max range of the projectile. Why? What does taking the derivative do in order to help us find the max angle? I know that the value of the derivative...

sorry 'bout that typo..

I'm currently reading Apostol's Calculus. I'm now on the part where I need to prove sin and cos values for specific values. Right now I'm working on sin and cos of pi/6. However, I always get at 1/2 and √3/2 for the final value. Here's my solution so far: Homework Statement Use the properties...