a ball is projected horizontally from the top of a hill with a velocity of 30 m per second if it reaches the ground 5 seconds la
2 answers:
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Answer:
Yes, it's correct
Explanation:
Newton's second Law states that the acceleration of an object is proportional to the net force applied on it, according to the equation:
where
F is the net force on the object
m is the mass of the object
a is the acceleration of the object
We can re-arrange the previous equation in order to solve explicitely for a, the acceleration, and we find:
So, we see that the acceleration is proportional to the net force and inversely proportional to the mass of the object.
The angle of the ladder inclined with respect to the horizontal after being moved a distance of 0.82 m closer to the building is 53.84°
cos θ = Adjacent side / Hypotenuse
θ = 47°
Hypotenuse = Length of ladder = 8.5 m
cos 47° = Adjacent side / 8.5
Adjacent side = Initial distance of base of ladder from the building = 5.8 m
Adjacent side 2 = Final distance of base of ladder from the building
Adjacent side 2 = 5.8 - 0.82 = 4.98 m
cos θ = Adjacent side 2 / Hypotenuse
cos θ = 4.98 / 8.5 = 0.59
θ =
( 0.59 )
θ = 53.84°
The formula used above is one of trigonometric ratios. Trigonometric ratios can used only in a right angled triangle where one of the angles in at 90 degrees and the other two angles are less than 90 degrees.
Therefore, the angle of the ladder inclined with respect to the horizontal after being moved is 53.84°
To know more about trigonometric ratios
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Answer:
420m
Explanation:
Given parameters:
Time = 5minutes
Average speed = 1.4m/s
Unknown:
Distance covered = ?
Solution:
Speed is the rate of change of distance with time.
Mathematically;
Speed =
Distance = speed x time
Insert the parameters and solve;
Convert the time to seconds;
1 minute = 60s
5 minute = 5 x 60 = 300s
So,
Insert the parameters and find the distance;
Distance = 300 x 1.4 = 420m