107. A hot-air balloon rises from ground level at a constant velocity of 3.0 m/s. One minute after liftoff, a sandbag is dropped accidentally from the balloon. Calculate (a) the time it takes for the sandbag to reach the ground and (b) the velocity of the sandbag when it hits the ground.
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- 3) You throw a ball straight up. The ball leaves your hand at a height of 2.00 m above the ground with a speed of 20.0 m/s (~45 mph). Ignore air resistance and use g = 10.0 m/s2. You can use a spreadsheet but show a sample calculation for the velocity and the position at t = 1.5 s. 3a.) Calculate and make a table of the height, y(t), and y-velocity, vy(t), at 0.50-second intervals until the ball hits the ground. Your table should have the units in the column headers: t (s), vy (m/s), y (m) Remember to add the ysubscripts when the motion is along the y-axis. 3b.) Use this data to draw a motion diagram for the ball at 0.50-second intervals. Label the time, y-coordinate,and the velocity at each time interval. Label the origin, starting height, maximum height, and final height.Include the instantaneous velocity vectors at each time and location of the ball. 3c.) Calculate the time it takes for the ball to hit the ground and the final velocity of the ball just as it hits the ground.…6. A nut comes loose from a bolt on the bottom of an elevator, as the elevator is moving up the shaft at 3.00 m/s. The nut strikes the bottom of the shaft in 2.00 s. (a) How far from the bottom of the shaft was the elevator when the nut fell off? (b) How far above the bottom was the nut 0.25 s after it fell off? Answer: 13.6m, 14 m8. A ball is thrown vertically upward from the edge of a bridge 29.5 m high with an initial speed of 13.0 m/s. The ball falls all the way down and strikes the water below. Determine the magnitude of the velocity of the ball just before it strike the water. m/s O ssf60 s ssf60 f60
- 11. A person standing over an atrium 23.5 m below them and tosses a baseball straight up at22.1 m/s. The ball lands on the glass of the atrium ceiling and cracks it. Ten seconds later, theceiling cracks and the ball falls 11.1 m and lands on the floor of the atrium. a) What was the velocity of the baseball just before it hit the glass ceiling of theatrium?b) How long did it take for the ball to hit the atrium ceiling?c) How long does it take for the baseball to fall from the atrium ceiling and hit thefloor?6. A ball is thrown vertically upward from the edge of a bridge 26.5 m high with an initial speed of 17.0 m/s. The ball falls all the way down and strikes the water below. Determine the time it takes the ball to strike the water. S ssf60 er be f60 ssf? ssf60ball D9JSS (SA certain volcano on the Earth can eject rocks vertically to a maximum height H. How high (in terms of H) would these rocks go if a volcano on a planetary object ejected them with the same initial velocity? The accelerations due to the gravity on the Earth and the planetary object are 9.8m/s² and 3.1 m/s?, respectively. Neglect the effect of the air on both planets. 답:
- 1.A train moves with a constant velocity of 25 m/s. The train conductor at the front of the train begins towalk towards the back of the train with a velocity of 4.0 m/s. The train is 48 meters long. How long will ittake the conductor to reach the back of the train? 2.A ball is thrown on level ground at an angle of 25.0 degrees above the horizontal with an initial velocityof 18.0m/s. What is the range of the throw?3. A golf ball rolls off a horizontal cliff with an initial speed of 11.4 m/s. The ball falls a vertical distance of 15.5 m into a lake below. (a) How much time does the ball spend in the air? (b) What is the speed v of the ball just before it strikes the water?1.Jayani is standing on a 15 m high cliff and throws a baseball straight up in the air with an initial velocity of 12 m/s. Determine the maximum height of the ball with respect to the ground and the time it is in the air before it lands on the ground.
- 7. Physics: A baseball is thrown directly upward with initial velocity of 75 ft/sec from an initial height of 30 ft. The velocity of the baseball is given by: v(t) = –32t + 75, wheret is the number of seconds since the ball was released and v is in ft/sec. a) Find the function h that gives the height (in feet) of the baseball after t seconds if we know that at t = 0, the ball is 30 ft above ground. b) what are the height and velocity of the baseball after 2 seconds of flight? c) After how many seconds does the ball reach its highest point? (hint: the ball "stops" for a moment before falling downward, v(t) = 0) %3D3. A concrete block is dropped from the roof of a building. The block hits the ground in 6.50 s. Ignoring air resistance. (a) How high, in meters, is the building? (b) What is the magnitude of the velocity just before it reaches the ground?6. A car is headed into town along a straight highway (x=0m is the center of town), and its position is given by the following equation. x(t)- 300 – 120t + 201? a) What do the 300, -120 and 20 mean in the above equation? b) Using the derivative method find the equation for the velocity of the particle.