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Answer:
The time taken by object to travel 21 ft is 1 sec
Step-by-step explanation:
The distance travel by falling object given as
d = 5 t + 16 t²
The Distance cover by object to travel = 21 ft
so , from Distance time equation
21 = 5 t + 16 t²
or, 16 t² + 5 t - 21 = 0
Or, 16 t² - 16 t +21 t - 21 = 0
Or, 16 t ( t - 1) + 21 (t - 1) = 0
Or. (t - 1) (16 t + 21) = 0
Or, (t - 1) = 0 And (16 t + 21) = 0
∴ t = 1 And t = ( )
Hence The time taken by object to travel 21 ft is 1 sec Answer