When it comes to horizontal projectiles, the formula for time is:
Where:
dy = vertical distance or height
g = acceleration due to gravity
t = time
Based on the problem, we know that the height at which the tennis ball was thrown is 78.4 m and the acceleration due to gravity is a constant 9.8m/s2. All you need to do is input that into our equation:
The time it would take is
4 seconds.
Answers:
A) 0.204 m
B) 0.285 s
Explanation:
<h2>Answer A:</h2>
This described situation is free fall, this means the initial velocity of the fly is zero, and the equation that will be used is:
(1)
Where:
is the final height of the fly
is the initial height of the fly
is the initial velocity of the fly
is the time
is the acceleration due to gravity
(2)
(3) This is the distance at which the fly would begin to beat its wings
<h2>Answer B:</h2>
In this part we will also use equation (1), but we will find the time:
(1)
Where:
is the final height of the fly
is the initial height of the fly
is the initial velocity of the fly
is the time we need to find
is the acceleration due to gravity
(4)
Isolating :
(5)
(6) This is the time it would take for a fly to hit the bottom of the box
17.7m/s
Explanation:
Given parameters:
Height of branch = 16m
Unknown:
Velocity before falling = ?
Solution:
We are going to use the appropriate motion equation to solve this problem.
The bird is falling in line with the action of gravity.
Initial velocity is 0 for the bird.
Let the velocity during flight = V;
Then;
V² = U² + 2gH
since U = 0
V² = 2gH
V is the unknown velocity
H is the height of fall
g is the acceleration due to gravity
V = √2gH = √ 2x9.8 x 16 = 17.7m/s
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Answer:
the answer for the question is the last option