# A projectile, say a cannonball, is shot at a target some distance away. The launch speed of the projectile is 127 m/s, and the acceleration due to…

A projectile, say a cannonball, is shot at a target some distance away. The launch speed of the projectile is 127 m/s, and the acceleration due to gravity is 9.81 m/s2 . The land is flat and horizontal. Ignore wind resistance. You will learn how much of an assumption it is to ignore air resistance for projectiles at these speeds in a later tutorial. (4 marks each). a) What is the farthest distance this cannonball can be fired? Show work. b) Using a spreadsheet, make a table of x and y coordinates as a function of time for this trajectory. c) Plot a graph showing the trajectory with the largest range. d) On the same graph, show the possible shorter trajectories the cannonball could have if the target is at distance of 700 m and 1.3 km. Hint: there is more than one angle for each distance. e) Label the trajectories on your graph with the time of flight for each one.

Supposing x is distance and y is height, i figured out that the equation of t(time) = x/v*cos(a), what is the equation of t in terms of y? and how to plot the graph on Excel??

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