An airplane is dropping bales of hay to cattle stranded in a blizzard on the Great Plains. The pilot releases the bales at 150 m above the level ground when the plane is flying at 75 m>s in a direction 55° above the horizontal. How far in front of the cattle should the pilot release the hay so that the bales land at the point where the cattle are stranded?
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An airplane is dropping bales of hay
to cattle stranded in a blizzard on the Great Plains. The pilot releases
the bales at 150 m above the level ground when the plane is flying at
75 m>s in a direction 55° above the horizontal. How far in front of the
cattle should the pilot release the hay so that the bales land at the point
where the cattle are stranded?
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- A boy shoves his stuffed toy zebra down a frictionless chute. It starts at a height of 1.27 m above the bottom of the chute with an initial speed of 1.07 m/s. The toy animal emerges horizontally from the bottom of the chute and continues sliding along a horizontal surface with a coefficient of kinetic friction of 0.223. How far from the bottom of the chute does the toy zebra come to rest? Assume g = 9.81 m/s2. EA child starts from rest and slides without friction from a height of h = 5.0 m along a slide next to a pool (see fiqure). She is launched from a height of 0.8 m (ignore the h/5 in the fiqure) at an angle of 240 into the air over the pool Утах th/5 What is her maximum height above the water after leaving the slide? Hint: it is possible to do this without doing projectile motion, even desirable as we are trying to learn conservation of energy; this problem does require you to use conservation of energy more than once 3.1 XmAt a local swimming pool, the diving board is elevated h = 9.5 m above the pool's surface and overhangs the pool edge by L = 2 m. A diver runs horizontally along the diving board with a speed of vo = 4.9 m/s and then falls into the pool. Neglect air resistance. Use a coordinate system with the horizontal x-axis pointing in the direction of the diver's initial motion, and the vertical y-axis pointing up. Enter an expression for the time ty it takes the diver to fall off the end of the diving board to the pool's surface in terms of vo, h, L, and g. Calculate this time, ty in seconds.Determine the horizontal distance, dy in meters, from the edge of the pool to where the diver enters the water.
- A baseball is projected horizontally with an initial speed of 5.93 m/s from a height of 1.73 m. What is the speed of the baseball when it hits the ground? (Neglect air friction.)A golf ball is thrown from the top of a cottage roof with an initial velocity of 11.0 m/s at 56.0° above the horizontal. Just as it reaches the ground, the vertical component of the golf ball's velocity is measured to be 13.5 m/s downwards. (The solution you submit for this TEST PROBLEM must be entirely your work only.) (a) What must the height of the cottage roof? (b) How far horizontally will the ball have moved when it has reached the peak of its trajectory?A ski jumper starts from rest 42.0 m above the ground on a frictionless track and flies off the track at an angle of 45.0° above the horizontal and at a height of 10.5 m above the ground. Neglect air resistance. (a) What is her speed when she leaves the track? (b) What is the maximum altitude she attains after leaving the track? (c) Where does she land relative to the end of the track?
- Page 6 of 8 6. A projectile is fired at v, = 381.0 at an angle of 9 = 66.0° with respect to the horizontal. Assume that air friction will shorten the range by 32.1%. How far will the projectile travel in the horizontal direction, R?Multiple-Concept Example 5 reviews many of the concepts that play a role in this problem. An extreme skier, starting from rest, coasts down a mountain that makes an angle of 32.5° with the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.244. She coasts for a distance of 12.3 m before coming to the edge of a cliff. Without slowing down, she skis off the cliff and lands downhill at a point whose vertical distance is 3.67 m below the edge. How fast is she going just before she lands? Number i eTextbook and Media Save for Later Units Attempts: 0 of 5 used Submit Answer(a) An airplane is flying in a jet stream that is blowing at 45.0 m/s in a direction 23° south of east. Its direction of motion relative to the earth is 45° south of west, while its direction of travel relative to the air is 5° south of west. What is the airplane's speed relative to the air mass? m/s (b) What is the airplane's speed relative to the earth? m/s Additional Materials M Reading
- At a local swimming pool, the diving board is elevated h = 8.5 m above the pool's surface and overhangs the pool edge by L = 2 m. A diver runs horizontally along the diving board with a speed of v0 = 4.2 m/s and then falls into the pool. Neglect air resistance. Use a coordinate system with the horizontal x-axis pointing in the direction of the diver’s initial motion, and the vertical y-axis pointing up. Determine the horizontal distance, dw in meters, from the edge of the pool to where the diver enters the water.A skier is travelling horizontally across frictionless snow at 10 m/s. He goes up an also frictionless slope and his speed drops to 5 m/s at the top when he resumed moving horizontally. How high did he go?Problem 1 student tries to help some local kids make a tire swing by throwing a rope over a branch, which is difficult because there are two branches (they should pick a different tree). The lower 1 m above that. The student throws the weighted end ofa very light rope with an initial angle of 0 = 70° releasing it underhand at a = 6 m from the tree. A branch is e = 7 m off the ground and upper is d 0.5 m from the ground while standing b Determine the INuge of minimum and maximm initial velocities required to get over the lowest lin:b (B) without hitting the upper branch (C).