1. A student throws a set of keys vertically upward to his fraternity brother, who is in a window 4.20 m above. The brother's outstretched hand catches the keys 1.30 s later. (Take upward as the positive direction. Indicate the direction with the sign of your answer.) (a) With what initial velocity were the keys thrown? (b) What was the velocity of the keys just before they were caught?

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Chapter1: Units, Trigonometry. And Vectors
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1. A student throws a set of keys vertically upward to his fraternity
brother, who is in a window 4.20 m above. The brother's
outstretched hand catches the keys 1.30 s later. (Take upward as
the positive direction. Indicate the direction with the sign of your
answer.)
(a) With what initial velocity were the keys thrown?
(b) What was the velocity of the keys just before they were caught?
2. A tennis player tosses a tennis ball straight up and then catches it
after 1.99 s at the same height as the point of release.
magnitude= 9.8m/s^2 direction= downward
velocity when it reaches maximum height= 0m/s direction= the
magnitude zero
(c) Find the initial velocity of the ball.
(d) Find the maximum height it reaches.
3. Traumatic brain injury such as concussion results when the head
undergoes a very large acceleration. Generally, an acceleration less
than 800 m/s² lasting for any length of time will not cause injury,
whereas an acceleration greater than 1,000 m/s² lasting for at least 1
ms will cause injury. Suppose a small child rolls off a bed that is 0.60
m above the floor. If the floor is hardwood, the child's head is
brought to rest in approximately 2.1 mm. If the floor is carpeted, this
stopping distance is increased to about 1.1 cm. Calculate the
magnitude and duration of the deceleration in both cases, to
determine the risk of injury. Assume the child remains horizontal
during the fall to the floor. Note that a more complicated fall could
result in a head velocity greater or less than the speed you calculate.
hardwood floor magnitude
hardwood floor duration
carpeted floor magnitude
carpeted floor duration
Transcribed Image Text:1. A student throws a set of keys vertically upward to his fraternity brother, who is in a window 4.20 m above. The brother's outstretched hand catches the keys 1.30 s later. (Take upward as the positive direction. Indicate the direction with the sign of your answer.) (a) With what initial velocity were the keys thrown? (b) What was the velocity of the keys just before they were caught? 2. A tennis player tosses a tennis ball straight up and then catches it after 1.99 s at the same height as the point of release. magnitude= 9.8m/s^2 direction= downward velocity when it reaches maximum height= 0m/s direction= the magnitude zero (c) Find the initial velocity of the ball. (d) Find the maximum height it reaches. 3. Traumatic brain injury such as concussion results when the head undergoes a very large acceleration. Generally, an acceleration less than 800 m/s² lasting for any length of time will not cause injury, whereas an acceleration greater than 1,000 m/s² lasting for at least 1 ms will cause injury. Suppose a small child rolls off a bed that is 0.60 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 2.1 mm. If the floor is carpeted, this stopping distance is increased to about 1.1 cm. Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume the child remains horizontal during the fall to the floor. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate. hardwood floor magnitude hardwood floor duration carpeted floor magnitude carpeted floor duration
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