find an equation for the range (defined as the xdisplacement of the projectile when it reaches y = 0) for a cannonfiring from y = 0. Leave everything as variables, such asvi for the initial velocity, and θ forthe launch angle.
After you are confident in your equation you must beable to predict where the projectile will land on the firsttry.
- Write out an equation that gives the horizontalposition of the object as a function of time.
- Is the total time the object spends in flightdetermined by what’s going on horizontally or what’s going onvertically? Come up with an expression for the total time theobject spends in flight (the time it takes the object to return tothe level from which it was launched), in terms ofvi and θ.
- Substitute your expression from 2 into your equation in1, which should produce what we call the range equation – anequation that tells you how far horizontally the object travels, interms of vi and θ. You may find thefollowing relation useful: sin theta, cos theta= 1/2 sin2theta.
Please show the steps and number it properly. Thank you foranswering the question. Will definetly give a thumbsup. Â
