A single photogate is programmed to start a timer when it is blocked, and stop t

Question

A single photogate is programmed to start a timer when it is blocked, and stop the timer when it is unblocked. A sphere with constant velocity passes through the photogate. Using the appropriate data in the table, determine the speed of the sphere as it passes through the photogate. Assume that the beam of the photogate is aligned such that the photogate will collect data based on the sphere's diameter. All work must be shown on the back of this page. Your work should include a diagram of when the timer begins and ends. Ball diameter is 22 mm and time for photo gate is .007 s Questions:
What is the speed of the sphere in m/s ? (3 points)

A projectile is launched perfectly horizontally with a constant velocity. How much time in seconds will it take the projectile to fall a distance of 2 meters? (3 points)

A projectile is launched perfectly horizontally from a table height of 1.0 meters. How many meters will the projectile travel in the horizontal direction before it hits the floor, if its initial velocity is 3 m/s? (4 points)
A single photogate is programmed to start a timer when it is blocked, and stop the timer when it is unblocked. A sphere with constant velocity passes through the photogate. Using the appropriate data in the table, determine the speed of the sphere as it passes through the photogate. Assume that the beam of the photogate is aligned such that the photogate will collect data based on the sphere's diameter. All work must be shown on the back of this page. Your work should include a diagram of when the timer begins and ends. Ball diameter is 22 mm and time for photo gate is .007 s Questions:
What is the speed of the sphere in m/s ? (3 points)

A projectile is launched perfectly horizontally with a constant velocity. How much time in seconds will it take the projectile to fall a distance of 2 meters? (3 points)

A projectile is launched perfectly horizontally from a table height of 1.0 meters. How many meters will the projectile travel in the horizontal direction before it hits the floor, if its initial velocity is 3 m/s? (4 points)
A single photogate is programmed to start a timer when it is blocked, and stop the timer when it is unblocked. A sphere with constant velocity passes through the photogate. Using the appropriate data in the table, determine the speed of the sphere as it passes through the photogate. Assume that the beam of the photogate is aligned such that the photogate will collect data based on the sphere's diameter. All work must be shown on the back of this page. Your work should include a diagram of when the timer begins and ends. Ball diameter is 22 mm and time for photo gate is .007 s Questions:
What is the speed of the sphere in m/s ? (3 points)

A projectile is launched perfectly horizontally with a constant velocity. How much time in seconds will it take the projectile to fall a distance of 2 meters? (3 points)

A projectile is launched perfectly horizontally from a table height of 1.0 meters. How many meters will the projectile travel in the horizontal direction before it hits the floor, if its initial velocity is 3 m/s? (4 points)

Explanation / Answer

a)

here

the speed of the sphere is

v = d / t

v = 0.022 / 0.007

v = 3.14 m/s

b)

then

for projectile motion

t = sqrt( 2 * h / g)

t = sqrt( 2 * 2 / 9.8)

t = 0.638 sec

c)

then

time to fall 1.0 m = t = sqrt(2 * y / g) = 0.4517 sec

x = v * t

x = 3 * 0.4517 = 1.3551 m

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