Finding the Velocity of a MissileDate: 12/10/1999 at 09:24:24 From: sally daubenspeck Subject: Physics If the angle of launch is 45 degrees and the distance to the target is 1000 m, what is the velocity of the missile? Date: 12/10/1999 at 16:58:42 From: Doctor Rick Subject: Re: Physics Hi, Sally. Since the angle of launch is 45 degrees, the initial horizontal velocity is equal to the initial vertical velocity. Call this quantity v_0. Write an equation for the horizontal position x as a function of time t. Set x = 1000 m and solve for t. (You'll get an expression involving the unknown v_0.) Write an equation for the vertical position y as a function of time t. Plug in the value of t at which the missile hits the target. What is the value of y at that time? (You have to make an assumption; the problem as you stated it doesn't tell us.) Plug this value into the equation as well. Solve for v_0. There are other ways you could solve this problem. You could, for instance, solve for t first, then put it in the first equation and solve for v_0. If there is anything I have said that you don't understand, feel free to ask about it. - Doctor Rick, The Math Forum http://mathforum.org/dr.math/ |
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