Answer :
10.2 m/s is the initial speed of an arrow as it is launched straight up into the air. The arrow will be heading downward at a speed of 5.8 m/s after 1.63s
The arrow's steady downward acceleration once it leaves the bow is equivalent to the g of free fall. The amount of time needed for the velocity to change from an initial value of 10.2 m/s, assuming that upward is the positive direction
Given initial speed of arrow (u) = 10.2m/s
Final speed of arrow (v) = -5.8m/s (opposite in direction)
Since going downward gravity acts upon the arrow (g) = 9.8m/s
where g is the gravitational acceleration
time taken to move downward = t
We know that t = v-u/a = v-u/g
t = -5.8-10.2/-9.8 = -16/-9.8 = 1.63s
Hence time taken for the arrow to move downward is 1.63s
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