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183_notes:examples:finding_the_time_of_flight_of_a_projectile [2015/09/15 16:40] – [Solution] pwirving | 183_notes:examples:finding_the_time_of_flight_of_a_projectile [2015/09/15 16:51] (current) – [Solution] pwirving | ||
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$ -40 -v_{iy} \Delta{t} = -\dfrac{1}{2} {g} \Delta{t^2}$ | $ -40 -v_{iy} \Delta{t} = -\dfrac{1}{2} {g} \Delta{t^2}$ | ||
- | Sub in for $v_{iy}$. | + | Sub in values |
- | $ -40 -v_{iy} = -\dfrac{1}{2} {g} \Delta{t}$ | + | $ -40 -(7 \Delta{t}) = -4.9 \Delta{t^2}$ |
- | Substitute in value for $v_{iy}$ and g | + | Solve the quadratic equation |
- | $ 2\dfrac{{40 + v_{iy}}}{g} = \Delta{t}$ | + | $ \Delta{t} = 3.65s$ |
- | + | ||
- | Compute time it takes for the bus to reach the ground. | + | |
- | + | ||
- | $ \Delta{t} = 9.59s$ | + | |