When (time) does the block reach the bottom? How long is the incline? e. [18 pts] Draw the x-t graph, the v-t graph and the a-t graph for this motion. Make sure to use the same scale on the time axis. Your graphs have to be qualitatively correct and consistent, and you have to include numerical values (for point B, the turning point, time and position, as well as for A and C, position and velocity). You do not need to sir tin show your calculations.At time t=0 a ball is launched with a speed of vo at an angle of 0 with respect to the horizontal. Ignore air VO resistance except when specifically instructed to consider it. X 0=30 vo =30 m/s Use g=10m/s2 a. [6 pts] Find the x- and y-components of the initial velocity. b. [8 pts] How long does it take for the ball to reach the highest point of its trajectory? c. [12 pts] Find the total flight time of the ball (i.e. until it hits the ground again) and the horizontal distance it covers.For the rest, no explanations are required: d. [12 pts] For this part, use the coordinate system given in the figure on the previous page. Sketch the x-t. va-t. and as-t graphs for the entire motion. No numbers required, just sketch, but make sure to use the same scaling on the time axis. Sketch the y-t. vy-1, and a,-t graphs for the entire motion. e. [3 pts] If there was air resistance would it take the ball more, less, or the same amount of time to reach the highest point of its trajectory? (i) more (ii) less (iii) the same (iv) more information is needed If your answer is (iv): which information is needed? f. [6 pts] Back to no air resistance. If the ball is launched at a steeper angle, which of the following statements must be true? The range must be greater. True / False The total time of flight must be greater. True / False The impact speed when the ball hits the ground must be the same. True / False g. [3 pts] For what launch angle other than 30 degrees would you get the same range? Other launch angle in degrees:A block is moving on a frictionless incline. The incline has an angle of = 30 with respect to the horizontal. The x-axis of your coordinate system points downhill. with the Kc origin at the top, as shown. he VC Initially, the block is located in position A, 3.00 m away heat the top (see picture) and is C moving uphill with a speed of 2.00 nv's. The block toms around at point B and moves downhill. When it reaches the bottom Ofle incline [location C), it has a speed of5.00 mfs. Use 9 = 10 "1/52. [12 pts] In the gure above, all variables are dened (at point A we have position xn, time ta, and velocity VA, etc.). In the table below: 0 for all variables that are known: ll in their values, including sign and unit, and o for all variables that are unknown: put a question mark. b. [20 pts] When (Le. nd the time) does the block reach the bottom (location C) and how long is the incline? As in class, state the equation you use and then plug in numbers to find a numerical solution