an arrow is shot straight up in the air at an initial speed of 10.2 m/s. after how much time will the arrow heading downward at a speed of 5.8 m/s? assume the magnitude of g



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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