Posted by admin | Posted in Uncategorized | Posted on 28-11-2006
Tags: arrow, flash, fun, games, the, the arrow 103.5, the arrow 93.7, the arrow and the song, the arrow of time, the arrows
the arrow
How high with the arrow go and what horizontal distance will it travel?
Brent closes his eyes and shoots an arrow into the air at an angle of 30 degrees at a velocity of 49 m/s.
How high does the arrow go?
What horizontal distance will it travel?
Thanks for any help 
The vertical component of its initial velocity = 49sin30 = 24.5 m/s.
Now, it will reach the highest point when the vertical component is equal to zero. We can use one of the four kinematic equations of motion in the vertical direction to find the vertical distance to the point where the vertical component of its initial velocity is zero. So what information do we have?
u = initial velocity = 24.5 m/s
v = final velocity = 0
a = acceleration due to gravity = -9.8 m/s²
d = distance = ?
v² = u² + 2ad
0² = 24.5² - 19.6d
d = -24.5²/-19.6 = 600.25/19.6 = 30.625 m. So it reaches a height of 31 m (rounded to 2 sf).
Also the horizontal distance the arrow travels can be found using the range equation. If R is the range (horizontal distance), u = initial velocity, g the acceleration due to gravity, and θ the angle, then R = u²sin2θ/g = 49²sin60/9.8 = 212 m, and round to 210 m to 2 significant figures.
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