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?
69) A rescue helicopter is hovering over a person whose boat has sunk. One of the rescuers throws a life preserver straight down to the victim with an initial velocity of 1.40 m/s and observes that it takes 1.8 s to reach the water. (a) List the knowns in this problem. (b) How high above the water was the preserver released? Note that the downdraft of the helicopter reduces the effects of air resistance on the falling life preserver, so that an acceleration equal to that of gravity is reasonable.
A golf ball is fired straight up into the air from ground level. It reaches a maximum height at ℎ = 504 meters. Calculate the initial speed of the golf ball in meters per second.
1
6) Bob wants to measure the height of a cliff. Unfortunately, he only has with him a stopwatch and a
baseball. Luckily, he has a plan. While Jane stays at the bottom of the cliff, Bob climbs up the cliff
face. When he reaches the top, he throws the baseball as hard as he can, with a velocity of 33.7 m/s
at an angle of 22.5°. Some time later, Jane shouts that the ball landed 127 m from the bottom of the
cliff.
a) If Bob threw the ball from 1.50 m above the clifftop, how high is the cliff itself?
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