Predict/Calculate To decide who pays for lunch, a passenger on a moving train tosses a coin straight upward with an initial speed 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’s initial velocity is (5.25 m/s) y ⌢ . The train’s velocity relative to the ground is (12.1m/s) x ⌢ . (a) What is the minimum speed of the coin relative to the ground during its flight? At what point in the coin s flight does this minimum speed occur? Explain. (b) Find the initial speed and direction of the coin as seen by an observer on the ground. (c) Use the expression for y max derived in Example 4-14 to calculate the maximum height of the coin, as seen by an observer on the ground. (d) What is the maximum height of the coin from the point of view of the passenger, who sees only one-dimensional motion?
Predict/Calculate To decide who pays for lunch, a passenger on a moving train tosses a coin straight upward with an initial speed 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’s initial velocity is (5.25 m/s) y ⌢ . The train’s velocity relative to the ground is (12.1m/s) x ⌢ . (a) What is the minimum speed of the coin relative to the ground during its flight? At what point in the coin s flight does this minimum speed occur? Explain. (b) Find the initial speed and direction of the coin as seen by an observer on the ground. (c) Use the expression for y max derived in Example 4-14 to calculate the maximum height of the coin, as seen by an observer on the ground. (d) What is the maximum height of the coin from the point of view of the passenger, who sees only one-dimensional motion?
Predict/Calculate To decide who pays for lunch, a passenger on a moving train tosses a coin straight upward with an initial speed 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’s initial velocity is (5.25 m/s)
y
⌢
. The train’s velocity relative to the ground is (12.1m/s)
x
⌢
. (a) What is the minimum speed of the coin relative to the ground during its flight? At what point in the coin s flight does this minimum speed occur? Explain. (b) Find the initial speed and direction of the coin as seen by an observer on the ground. (c) Use the expression for ymax derived in Example 4-14 to calculate the maximum height of the coin, as seen by an observer on the ground. (d) What is the maximum height of the coin from the point of view of the passenger, who sees only one-dimensional motion?
Problem 8. A fast duck is flying 20i + 40j Įmi/h at the same altitude as a
slow airplane flying with a velocity of ( -80i + 40j
mi/h. How fast and in what
direction is the duck moving relative to the airplane?
a) 100 mi/h, along +î
b) 100 mi/h, along -î
c) 150 mi/h, along +j
d) 150 mi/h, along -ĵ
e) 200 mi/h, along +î
6
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.…
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.