Question

Review An arrow is shot at an angle of -15 above the horizontal The arrow hits a tree a horizontal distance D 220 m away, of the same height above the ground as it was shot Use 9 9.8 m/s for the magnitude of the acceleration due to gravity Find to the time that the arrow spends in the ar Answer numerically in seconds, to two significant figures. View Available Hints) V AED + O2 ? Submit Suppose someone drops an apple from a vertical distance of 0.0 meters, directly above the point where the arrow hits the tree - Part 8 the arrow is the tree? How long after the arrow was shot should the appliebe dropped in order for the arrow lo pierce the apple Express your answer numerically in seconds, to two significant figures. View Available Hints)

Answer 1

A)

Velocity, v = sqrt[rg/sin(2 theta)]

v = sqrt[(220 x 9.8)/sin(90)]

v = 46.4 m/s

Horizontal component of velocity,

Vx = 46.4 cos(45) = 32.8 m/s

Time, t = 220/32.8 = 6.70 sec

B)

Time, t = sqrt(2y/g)

t = sqrt(2 x 6/9.8) = 1.12 sec

Required time, T = 6.7 - 1.12 = 5.58 sec

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