SOLUTION: I am getting frustrated trying to figure this out. Can someone please break down the steps?
Solve.​ (Use 4.9tsquared+v0t=​s.)
a) A bolt falls off an airplane at an
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Question 1127955: I am getting frustrated trying to figure this out. Can someone please break down the steps?
Solve. (Use 4.9tsquared+v0t=s.)
a) A bolt falls off an airplane at an altitude of 500 m. Approximately how long does it take the bolt to reach the ground?
b) A ball is thrown downward at a speed of 40 m/sec from an altitude of 500 m. Approximately how long does it take the ball to reach the ground?
c) Approximately how far will an object fall in 6 sec, when thrown downward at an initial velocity of 40 m/sec from a plane?
a) It takes the bolt ________sec m/sec to reach the ground.
b)
c)
Found 2 solutions by MathLover1, ankor@dixie-net.com:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
a) A bolt falls off an airplane at an altitude of . Approximately how long does it take the bolt to reach the ground?
where
= the distance above ground (the height or altitude),
= time in seconds, and
is the initial velocity (zero in this case).
Divide both sides by
b) A ball is thrown downward at a speed of from an altitude of . Approximately how long does it take the ball to reach the ground?
Always assume positive = up and negative = down.
So the acceleration of gravity is *always* negative:
(acceleration due to gravity)
In your problem, the object lands below the starting point, so
Use this equation:
....we have to find the time
≈
c) Approximately how far will an object fall in sec, when thrown downward at an initial velocity of from a plane?
..............
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
olve. (Use 4.9tsquared+v0t=s.)
a) A bolt falls off an airplane at an altitude of 500 m. Approximately how long does it take the bolt to reach the ground?
:
there is no upward velocity, the ground = 0, therefore
-4.9t^2 + 500 = 0
-4.9t^2 = -500
t^2 = -500/-4.9
t^2 = 102.04
t =
t = 10.1 sec for the bolt to hit the ground when dropped by the plane
:
:
b) A ball is thrown downward at a speed of 40 m/sec from an altitude of 500 m. Approximately how long does it take the ball to reach the ground?
:
thrown downward it's -40 m/sec
-4.9t^2 - 40t + 500 = 0
use the quadratic formula; a=-4.9; b=-40; c=500
the positive solution
t = 6.8 sec for the ball to reach the ground when thrown downward
:
;
c) Approximately how far will an object fall in 6 sec, when thrown downward at an initial velocity of 40 m/sec from a plane?
4.9(36) + 40(6) = 416.4 meters in 6 sec
:
;
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