10. [1/2 Points] DETAILS PREVIOUS ANSWERS SERPSE10 4.3.P.016. 1/6 Submissions Used A cannonball is shot from a cannon at the top of a cliff a height h above a dry lakebed below. The cannonball is fired at an angle 0 above the horizontal and with an initial v;. (a) Find a symbolic expression in terms of the variables v;, 9, and 0 for the time at which the cannonball reaches its maximum height. v sin (0) t = g (b) Using the result of part (a), find an expression for the maximum height may above the lakebed attained by the cannonball in terms of h, v;, 9, and 0. hmax = h+ visin ( 0 ) ) 2 g X How is the height related to time for a projectile subject to constant acceleration of gravity?A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of VI = 17.5 m/s. The cliff is h = 41.1 m above a body of water as shown in the gure below. (a) What are the coordinates of the initial position of the stone? (Note that the origin is at the base of the cliff, where the x and y-axes intersect.) XI: ' I'Tl y'The correct answer is not zero. m (b) What are the components of the initial velocity of the stone? er= - m/s Iy= ~/ "1/5 (c) What is the appropriate analysis model for the vertical motion of the stone? (9 particle under constant, nonzero acceleration 3] particle under constant speed V (d) What is the appropriate analysis model for the horizontal motion of the stone? (9) particle under constant speed 3] particle und2r constant, nonzero acceleration J (e) Write symbolic equations for the x and y components of the velocity of the stone as a function of time. (Use the following as necessary: v,\" g, and t. Indicate the direction of the velocity with the sign of your answer.) I V = ,, - I (f) Write symbolic equations for the position of the stone as a function of time. (Use the following as necessary: V\