Questions What kind of informatio is indicated by the graph of the acceleration
ID: 776837 • Letter: Q
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Questions What kind of informatio is indicated by the graph of the acceleration due to gravity versus ball's mass if the slope of 2. A bal 1. What kind of in curve is zero? Il is dropped from the roof of a building. The ball strikes the ground after 6s. How tall, in meters, is the building? What is the magnitude of the ball's velocity just before it reaches the ground? a) b) 3. A studernt Il leaves the thrower's hand with a speed of 10m/s a) b) What is its speed after falling for 1s? 2 s? 3 s? How far does it fall in I s? 2 s? 3s? ) What is the magnitude of its velocity after falling 10 m?Explanation / Answer
1. the graph of acceleration due to gravity versus balls' mass has zero slope meaning, the acceleration due to gravity does not depend on the mass
2. given t = 6 s
initial speed = u = 0 m/s
hence
h = ut + 0.5gt^2
h = 0.5gt^2 = 176.58 m
b. 2gh = v^2 - u^2
2gh = v^2 - 0
v = 58.86 m/s
3. given, u = 10 m/s
a. v(1) = u + g*1 = 19.81m/s
v(2) = u + 2g = 29.62 m/s
v(3) = u + 3g = 39.43 m/s
b. s(1) = ut + 0.5gt^2 = 14.905 m
s(2) = ut + 0.5gt^2 = 39.62 m
s(3) = 74.145 m
c. s = 10 m
2gs = v^2 - u^2
v = 17.21 m/s
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