1. [011 Points] DETAILS PREVIOUS ANSWERS SERPSE10 4.3.0P.006. 1/6 Submissions Used MY NOTES ASK YOUR TEACHER A human expedition lands on an exoplanet. One of the explorers is able to jump a maximum distance of 16.5 m with an initial speed of 2.20 m/s. Find the gravitational acceleration on the surface of the exoplanet. Assume the planet has a negligible atmosphere. (Enter the magnitude in m/sz.) -x Note that the given distance is the maximum horizontal range, not the maximum vertical height, for the given initial speed. m/sZ Need Help? 2. {12 Points] SERPSE104.3.0P.008. 0/6 Submissions Used To start an avalanche on a mOUntain slope, an artillery shell is red with an initial velocity of 340 m/s at 54.0 above the horizontal. It explodes on the mountainside 36.0 s after ring. What are the x and y coordinates of the shell where it explodes, relative to its firing point? X: m y: m Need Help? 3. [-13 Points] DETAILS SERPSE10 4.3.0P.010. 0/6 Submissions Used MY NOTES ASK YOUR TEACHER A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 9.50 m/s at an angle of 22.0 below the horizontal. It strikes the ground 4.00 5 later. (a) How far horizontally from the base of the building does the ball strike the ground? (b) Find the (c) How long does it take the ball to reach a point 10.0 m below the level of launching? Need Help? m height from which the ball was thrown. m S 4. [-I2 Points] DETAILS SERPSE10 4.3.0P.014.CTX. 0/6 Submissions Used MY NOTES ASK YOUR TEACHER You are working as an assistant to a landscape architect, who is planning an artificial waterfall in a city park. Water owing at 1.85 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 3.00 m high, and from there it will fall into a pool (see the gure below). (D (a) The architect has asked you to determine if the space behind the waterfall will be wide enough for a pedestrian walkway. (Enter the maximum width, in meters, of a walkway behind the waterfall.) :lm (b) To sell her plan to the city council, the architect wants to build a model to standard scale, which is one-twelfth actual size. She asks you to design and build the model, with the important question being: how fast (in m/s) should the water flow in the channel in the model? :lm/s Need Help? 5. [-l1 Points] DETAILS SERPSE10 4.3.P.008. 0/6 Submissions Used MY NOTES ASK YOUR TEACHER A projectile is fired in such a way that its horizontal range is equal to 11.5 times its maximum height. What is the angle of projection? : Need Help? 6. [14 Points] SERPSE10 4.3.P.010. 0/6 Submissions Used ASK YOUR TEACHER A rock is thrown upward from the level ground in such a way that the maximum height of its flight is equal to its horizontal range R. (a) At what angle 9 is the rock thrown? |:| (b) In terms of its original range R, what is the range Rmax the rock can attain if it is launched at the same speed but at the optimal angle for maximum range? Rmax = R (c) Would your answer to part (a) be different if the rock is thrown with the same speed on a different planet? 0 Yes ONO Explain. I This answer has not been graded yet. Need Help? 7. [-11 Points] DETAILS SERPSE10 4.3.P.011. 0/6 Submissions Used MY NOTES ASK YOUR TEACHER A fireghter, a distance d from a burning building, directs a stream of water from a fire hose at angle 6'. above the horizontal as in the figure. If the initial speed of the stream is vi, at what height h does the water strike the building? (Use any variable or symbol stated above along with the following as necessary: 9.) . [-I5 Points] DETAILS SERPSE10 4.3.P.012. 0/6 Submissions Used MY NOTES ASK YOUR TEACHER A basketball star covers 2.95 m horizontally in a jump to dunk the ball. His motion through space can be modeled precisely as that of a particle at his center ofmass. His center of mass is at elevation 1.02 m when he leaves the floor. It reaches a maximum height of 1.80 m above the floor and is at elevation 0.940 m when he touches down again. (a) Determine his time of flight (his "hang time"). :5 (b) Determine his horizontal velocity at the instant of takeoff. m/s (c) Determine his vertical velocity at the instant of takeoff. m/s (d) Determine his takeoff angle. above the horizontal (e) For comparison, determine the hang time of a whitetail deer making a jump with center-ofmass elevations yl. = 1.20 m, = 2.30 m, and yf= 0.730 m. y Es Need Help? 9. [-/13 Points] DETAILS SERPSE10 4.3.P.013. 0/6 Submissions Used A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v, = 17.5 m/s. The cliff is h = 41.1 m above a body of water as shown in the figure below. (i (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.) X; = m y1 = m (b) What are the components of the initial velocity of the stone? Vix= m/s Viv= m/s (c) What is the appropriate analysis model for the vertical motion of the stone? O particle under constant, nonzero acceleration O particle under constant speed (d) What is the appropriate analysis model for the horizontal motion of the stone? O particle under constant speed O particle under constant, nonzero acceleration (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: Vix, 9, and t. Indicate the direction of the velocity with the sign of your answer.) VFX (f) Write symbolic equations for the position of the stone as a function of time. (Use the following as necessary: Vix, h, 9, and t. Indicate the direction of the displacement with the sign of your answer.) XF= (9) How long after being released does the stone strike the water below the cliff? S (h) With what speed and angle of impact does the stone land? V= m/s 0 = . counterclockwise from the x axis Need Help? Read It10. [-/2 Points] DETAILS SERPSE10 4.3.P.016. 0/6 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. t : (b) Using the result of part (a), find an expression for the maximum height max above the lakebed attained by the cannonball in terms of h, v;, 9, and 0. h max Need Help? Read It