Sketch the six graphs of the x- and y-components of position, velocity, and acceleration versus time for projectile motion with x0 = y0 = 0 and 0 < ?0 < 90o.
Solution 7DQ Suppose the projectile was launched at an angle . If lies between 0° and 90° then both x and y component of the initial velocity will be non zero. Let us also consider the total flight time is T and the upward direction is the positive y direction. Step 1 Acceleration. As we know that only acceleration that works for projectile motion is the acceleration due to gravity and which acts vertically downwards. Hence if we write the acceleration in component form, we will have 2 a xt) = 0 m/s ….(1) a (t) = g = 9.8 m/s ….(2) y Here we have considered the vertical direction as y axis and horizontal as x axis. So the graphical representation for axis And the a vs t graph is shown below y