h) At what height does the parcel have a velocity of -8.40 m/s? (Hint: use symmetry to solve) i) What is the velocity of the parcel right before it slams into the ground? j) What is the average velocity of the parcel between the time it is released and the time it slams into the ground?
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- To decide who pays for lunch, a passengeron a moving train tosses a coin straight upward with an initialspeed of 5.25 m>s and catches it again when it returns to its initial level. From the point of view of the passenger, then, the coin’sinitial velocity is 15.25 m>s 2yn . The train’s velocity relative to theground is 112.1 m>s2xn . (a) What is the minimum speed of the coinrelative to the ground during its flight? At what point in the coin’sflight does this minimum speed occur? Explain. (b) Find the initial speed and direction of the coin as seen by an observer on theground. (c) Use the expression for ymax derived in Example 4-14 tocalculate the maximum height of the coin, as seen by an observeron the ground. (d) What is the maximum height of the coin fromthe point of view of the passenger, who sees only one-dimensionalmotion?Kindly show complete solution and write legibly show also diagrams A projectile, shot at 0.9 m above the ground and 45o above the horizontal, travels 188 m before landing to the ground. Ignoring the air resistance, determine:a) The initial velocity (m/s) that will give the results stated aboveb) What would be the difference in height (m) between the ball and a fence 3 m highplaced at 166 m from the starting point?the leprechaun in the shamrock patch was named O'Malley and since he was disrupted from sitting in his patch he decided to go off and play a round of his favorite sport in where leprechaun kick a gold coin from a tee into a post 317m away. if he kicked the coin at an angleof 60 degree at a velocity of 60 m/s how high was the arch of the rainbow created by the trajectory? how long did it take to get to the pot?
- In the standing broad jump, one squats and then pushesoff with the legs to see how far one can jump. Suppose theextension of the legs from the crouch position is 0.600 m andthe acceleration achieved from this position is 1.25 times theacceleration due to gravity, g . How far can they jump? Stateyour assumptions. (Increased range can be achieved byswinging the arms in the direction of the jump.)Note : do not copy from Chegg. A projectile, initially 80.0 m from the ground, has an initial velocity of 50.0 m/s, +60 °. a) Where is the projectile when its speed is a minimum? b) Where is the projectile when its speed is 26.9258 m/s?Use a graphing utility to generate the trajectory of a paper airplane whose equations of motion for t ≥ 0 arex = t − 2 sin t, y = 3 − 2 cos t Assuming that the plane flies in a room in which the floor is at y = 0, explain why the plane will not crashinto the floor. [For simplicity, ignore the physical size of the plane by treating it as a particle.] How high must the ceiling be to ensure that the plane does not touch or crash into it?
- For the given situation attached, what is the initial, vertical velocity (viy) of the projectile be? Explain either qualitatively or quantitatively (or both)?To find the height of an overhead power line, you throwa ball straight upward. The ball passes the line on the way upafter 0.75 s, and passes it again on the way down 1.5 s after itwas tossed. What are the height of the power line and the initialspeed of the ball?What relation exists between the range covered by two projectiles thrown up with the same initial velocities at angles of projection that are complementary?
- What form does the trajectory of a particle have if the distance from any point Ato point Bis equal to the magnitude of the displacement from Ato B ?Check Your Understanding If the two golf shots in Example 4.9 were bunched at the same speed, which shot would have the greatest range? When we speak of the range of a projectile on level ground, we assume R is very small compared with the circumference of Earth. If, however, the range is large, Earth curves away below the projectile and the acceleration resulting from gravity changes direction along the path. The range is larger than predicted by the range equation given earlier because the projectile has father to fail than it would on level ground, as shown in Figure 4.17, which is based on a drawing in Newton’s Principia. If the initial speed is great enough, the projectile goes into orbit. Earth’s surface drops every 8000 m. In 1 s an object falls 5 m without a resistance. Thus, if an object is given a horizontal velocity of 8000 m/s (or 18,000 mi/hr) near Earth’s surface, it will go into orbit around the planet because, the surface continuously falls away from object Thu is roughly the speed of the Space Shuttle in a low Earth orbit when it was operational, or any satellite in a low Earth orbit. These and other aspects of orbital motion, such as Earth’s rotation, are covered in greater depth in Gravitation. Figure 4.17 Projectile to satellite. In each case shown here, a projectile is launched from a very high tower to avoid air resistance. With increasing initial speed, the range increases and becomes longer than t would be on level ground because Earth curves away beneath its path. With a speed of 8000 m/s, orbit is achieved.Check Your Understanding A boat heads north in still water at 4.5m/s directly across a river that is running east at 3.0 m/ s. What is the velocity o the boat with respect to Earth?