Continuing Problem, suppose that the bolt is now dropped (υ0 = 0) from a height of υ0 = 108.47 m. Then use Eqs. (16) and (17) to show that it hits the ground about 4.80s later with an impact speed of about 43.49 m/s.
Problem
Consider the crossbow bolt of Example, shot straight upward from the ground (y = 0) at time t = 0 with initial velocity υ0 = 49 m/s. Take g = 9.8 m/s2 and υ = 0.0011 in Eq. (12) Then use Eqs. (13) and (14) to show that the bolt reaches its maximum height of about 108.47 m in about 4.61 s.
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