An object is thrown directly downward from the top of a very tall building. The speed of the object just as it is released is 17.1 m/s. After being thrown, the object falls freely due to gravity. Neglect air resistance and calculate the distance, in meters which the object covers between times t1 = 3.32 s and t2 = 5.08 s after it is thrown.

Respuesta :

Answer:

distance cover is  = 102.53 m

Explanation:

Given data:

speed of object is 17.1 m/s

[tex]t_1 = 3.32 sec[/tex]

[tex]t_2 = 5.08 sec[/tex]

from equation of motion we know that

[tex]d_1 = vt_1 + \frac{1}{2} gt_1^2[/tex]

where d_1 is distance covered in time t1

so[tex] d_1 = 17.1 \times 3.32 + \frac{1}{2} 9.8 \times 3.32^2 [/tex]=

[tex]d_1 = 110.78 m[/tex]

[tex]d_2 = vt_2 + \frac{1}{2} gt_2^2[/tex]

where d_2 is distance covered in time t2

[tex]d_2 = 17.1 \times 5.08 + \frac{1}{2}\times9.8 \times 5.08^2[/tex]

[tex]d_2 = 213.31 m[/tex]

distance cover is  = 213.31 - 110.78 = 102.53 m

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