A small boat is moving at a velocity of 3.35m/s when it is accelerated by a river current perpendicular to the initial direction
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Answer:
The car will take approximately 4.865 seconds to splash into the water.
Explanation:
Let suppose that car moves initially downwards. We must see the kinematics of the car after being thrown off the bridge, it is quite certain that car experiment a free fall, in which it is accelerated uniformly by gravity. The time spent by the car to splash into the water is obtained from this equation of motion:
Where:
- Current height, measured in feet.
- Initial height, measured in feet.
- Initial velocity, measured in feet per second.
- Time, measured in seconds.
- Gravitational acceleration, measured in feet per square second.
If we know that ,
,
and
, this quadratic function is obtained:
Now we get the roots of the polynomial by Quadratic Formula:
,
Only the first root is physically reasonable. In a nutshell, the car will take approximately 4.865 seconds to splash into the water.