
Concept explainers
The minimum height at which the fish must spot the pelican to escape

Answer to Problem 66GP
Explanation of Solution
Given:
For the motion of pelican from top to the surface of water:
Initial velocity of the pelican at the start of diver
Height at which the pelican starts the dive
Initial position of the pelican at the top at the start of dive
Final position of the pelican at the surface of water
Time taken by the pelican to reach the surface of water
Acceleration experienced by the pelican during free fall
Time taken by the fish to escape
For the motion of pelican from top to the height where fish spots it:
Time of travel for the pelican when it is spotted by the fish at the right time
Initial velocity of the pelican at the start of diver
Height at which the pelican gets spotted by fish
Final position of the pelican
Formula Used:
Position of an object at any time during constant accelerated motion is given as
Calculation:
Consider the motion of the pelican from top to the surface of water:
Position of the pelican when at the surface of water is given as
Inserting the values
Consider the motion of the pelican from top to the height where fish spots it:
Position of the pelican where fish spots it is given as
Substituting the values
Conclusion:
Therefore, minimum height at which the fish must spot the pelican is 3.5 m.
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