10.0 m tion of the basketball at the highest point in its trajectory? direction

Question

10.0 m tion of the basketball at the highest point in its trajectory? direction (b) At what speed must the player throw the basketball so that the ball goes through the hoop without striking the backboard? 10 8 m/s at 16.0 m/s in a straight line, 160 m above the ground. A mouse it has been carrying struggles free from its talons. The hawk c A hawk is flying h attermpting to retrieve its prey. To accomplish the retrieval, it dives in a straight line at constant speed and recaptures the mouse 4.00 m above the ground on its path at the same speed for 2.00 s before (a) Assuming no air resistance acts on the mouse, find the diving speed of the hawk. m/s b) What angle did the hawk make with the horizontal during its descent? a (below the horizontal) (c) For what time interval did the mouse experience free fall? Need Help? Read it My Not Ask Your A person standing at the top of a hemispherical rock of radius R 8.00 m kicks a ball (initially at rest on the top of the rock) to give it horizontal velocity v, as in the figure. 1 PM Type here to search t e

Explanation / Answer

c) X = X0 + V0 t + 1/2 a t2

4 = 160 + 0 + (1/2 * -9.8 * t2)

t2 = 160 - 4 / (1/2 * 9.8)

t = sqrt [156 / 4.9]

mouse experience free fall at t = 5.64 s

a) x = v (t - 2) = 16 (5.64 - 2) = 58.2

y = 160 - 4 = 156

d = sqrt [x2 + y2] = sqrt [58.22 + 1562] = 166.5

diving speed of the hawk = d / t - 2

= 166.5 / (5.64 - 2)

diving speed = 45.7 m/s

b) theta = tan-1(y/x) = tan-1(156 / 58.2)

angle = 69.5 deg

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