11. [-/1.33 Points] DETAILS SERPSE7 4.P.055.SOLN. MY NOTES ASK YOUR TEACHER A hawk is flying horizontally at 15.0 m/'s in a straight line, 190 m above the ground. A mouse it has been carrying struggles free from its grasp. The hawk continues on its path at the same speed for 2.00 s before attempting to retrieve its prey. To accomplish the retrieval, it dives in a straight line at constant speed and recaptures the mouse 3.00 m above the ground. (@) Assuming no air resistance, find the diving speed of the hawk. m/'s (b) What angle did the hawk make with the horizontal during its descent? (below the horizontal) (c) For how long did the mouse "enjoy" free fall? Is 12. [-/1.33 Points] DETAILS SERPSE7 4.P.056. MY NOTES ASK YOUR TEACHER O The determined coyote is out once more in pursuit of the elusive roadrunner. The coyote wears a pair of Acme jet-powered roller skates, which provide a constant horizontal acceleration of 15.0 m/'s? (see figure). The coyote starts at rest 75.0 m from the brink of a cliff at the instant the roadrunner zips past him in the direction of the cliff. Coyote Roadrunner Stupidus Delightus 9BEEF BEEP + (@) The roadrunner moves with constant speed. Determine the minimum speed he must have so as to reach the cliff before the coyote. m/'s (b) At the edge of the cliff, the roadrunner escapes by making a sudden turn, while the coyote continues straight ahead. The coyote's skates remain horizontal and continue to operate while he is in flight so that his acceleration while in the air is (15.01 - 9.80]) m/s . The cliff is 100 m above the flat floor of a wide canyon. Determine where the coyote lands in the canyon. m (from base of cliff) (c) Determine the components of the coyote's impact velocity. (Assume right is the positive x direction and up is the positive y direction.) VX = m/'s Vy = Im/'s13. [-/1.33 Points] DETAILS SERPSE7 4.XP.16. MY NOTES ASK YOUR TEACHER A stone at the end of a sling is whirled in a vertical circle of radius 1.50 m at a constant speed vo = 2.10 m/'s as in the figure. The center of the string is 1.50 m above the ground. LanAre _30.0" (a) What is the range of the stone if it is released when the sling is inclined at 30.00 with the horizontal at A? m O (b) What is the range of the stone if it is released when the sling is inclined at 30.0 with the horizontal at B? (c) What is the acceleration of the stone just before it is released at A? Magnitude m/s Direction + O toward the center of the circle O in the direction of vo O upward O downward (d) What is the acceleration of the stone just after it is released at A? Magnitude m/s Direction O toward the center of the circle upward O downward O in the direction of vo14. [-/1.33 Points] DETAILS MY NOTES ASK YOUR TEACHER At t=0, an object moves with an acceleration a=5t i+7t j. (a) Determine the magnitude of the particle's acceleration at t=2.0s. m/s2 b) Determine the direction of the particle at t=2.0s, if v(t=0)=2i+0j . degrees from +x-axis (c) Determine the magnitude of the particle's displacement at t=2.0s. m O (d) Calculate the direction of the particle as t -+ co. degrees from +x-axis + 15. [-/1.38 Points] DETAILS MY NOTES ASK YOUR TEACHER a.) A particle moves counterclockwise along a circular path of radius r=18.00cm at a constant speed. It completes one revolution in 51.00s. The particle started (xy)=(0,-r) att=0. Determine the position, velocity, and acceleration vectors at t=10.00s. Express your results in unit vector notation. R= i+ lil cm V=il cm/'s a= b.) A particle moves clockwise along a circular path of radius r=7.00cm at a constant speed. It completes one revolution in 37.00s. The particle started (x,y)=(6,0) at t=0. Determine the position, velocity, and acceleration vectors at t=10.00s. Express your results in unit vector notation. R= i+ liJ cm V= i+ Ji c/'s a= lit lil cm/32