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- 2. A 124 kg balloon carrying a 22kg basket is descending with a constant downward velocity of 20m/s. A 1 kg stone is thrown from the basket with an initial velocity of 15m/s horizontally measured from the person in the basket. The person sees the stone hit the ground 5 seconds after it was thrown. The balloon continues its downward descent with the same constant velocity of 20m/s. a) How high is the balloon when the stone is thrown? b) How high is the balloon when the stone hits the ground? c) At the instant the stone hits the ground, how far is it from the basket(direct distance) d) Just before the stone hits the ground, what are the horizontal and vertical velocity components measured by an observer i) in the basket ii) on the ground.A projectile is thrown up from the ground with velocity V 80i + 60j at 53° above the horizontal. What is the maximum height of the projectile relative to the ground (in m)? g-10 m/s2 a. 135 b. 147 c. 320 d. 1806. A long-jumper leaves the ground at an angle of 20.0° above the horizontal and at a speed of 11.0 m/s. (a) How far does he jump in the horizontal direction? (Assume his motion is equivalent to that of a particle.) 7. An astronaut on a strange planet finds that she can jump a maximum horizontal distance of 15.0 m if her initial speed is 3.00 m/s. What is the free-fall acceleration on the planet? 8. A tire 0.500 m in radius rotates at a constant rate of 200 rev/min. Find the speed and acceleration of a small stone lodged in the tread of the tire (on its outer edge). (Hint: In one revolution, the stone travels a distance equal to the circumference of its path, 2nr.) 9. A student attaches a ball to the end of a string 0.600 m in length and then swings the ball in a vertical circle. The speed of the ball is 4.30 m/s at its highest point and 6.50 m/s at its lowest point. Find the acceleration of the ball when the string is vertical and the ball is at (a) its highest point and (b) its…
- What is the velocity of a ball thrown with an initial speed of 28 m/s, 45° above the ground at t = 2.0 s? A. v = [28î+ (19.6)f]m/s B.v = [19.8î + (20)f]m/s C.3 = [(19.8t)î – (4.9t²)ſ]m/s14. An owl accidentally drops a mouse it is carrying, while flying horizontally at a speed of 16.0 m/s. The mouse drops to the ground 15.0 m below. What is the impact speed with which the mouse hits the ground? X Ax = 16.0 m: a?; Qx -o: Dt =5. A baseball is hit off the edge of a cliff horizontally at a speed 30 ms?. It takes the ball 3 seconds to reach the ground, with no air resistance. (g=9.81 ms?) a) How far from the cliff wall does the ball land? b) How high is he cliff wall?
- A projectile is thrown up from the ground with velocity V = 80i + 60j at 53° above the horizontal. What is the maximum height of the projectile relative to the ground (in m)? g- 10 m/s2 %3D а. 320 b. 180 c. 135 d. 1471. A ball is thrown upwards with an initial velocity of ; = 44 m/s at an angle of above the horizontal. It travels a distance Ar = 75 m in the horizontal direction and lands at its original height. What is 0? (Hint 1: examine the ball's motion in both the x and y directions. Hint 2: you may need to use that sin(0) cos(0) = (1/2) sin(20). Hint 3: There are two solutions to this problem; try to find both.) Take g = 9.81 m/s² and show all your work.1. In this problem we ignore air resistance. When a glass slides off a horizontal countertop with a speed of 2.10 m/s. It strikes the floor broken in 0.5 s. Find (a) the height of the countertop above the floor; (b) the horizontal distance from the edge of the table to the point where the glass strikes the floor and break; (c) the horizontal and vertical components of the glass's velocity, and the magnitude and direction of its velocity, just before the glass break reaches the floor. (d) Draw x-t, y-t, Vx-t, and vyt graphs for the motion.
- 6. A2 kg ball was thrown in the air from an angle of 30° moving with a velocity v=20 m/s. Assume the initial starting point is on the ground. a. Illustrate a diagram of the scenario. b. Compute for the components of velocity. nc. Compute the half time of flight. imiz ez d. Compute for the maximum height. e. Find the range of the trajectory.1. A ball is thrown into the air with an initial x velocity of 15 m/s and an initial y velocity 10 m/s from an initial height of 20 m. a) What is the maximum height of the ball? How long does it take the ball to reach its maximum height? b) What is the range of the ball?Suppose Larry Boy leaps from the top of a 61 m tall building. If his initial velocity is 28 m/s at an angle of 23 degrees above the horizontal, then with what speed does he hit the ground as he lands? 58.06 m/s 45.16 m/s С. А. D. 45.16 m/s 44.49 m/s 64.07 m/s В. Е. 27.58 m/s F.