Answer:
The instantaneous velocity of the object when t = 4.1 is 9.7 [tex]\frac{m}{s}[/tex].
Explanation:
Instantaneous velocity, v = [tex]\frac{dx}{dt}[/tex]
x = [tex]b t^{2} - ct[/tex]
v = [tex]\frac{dx}{dt}[/tex] = 2bt - c
At t = 4.1 s
v = 2 × b × 4.1 - c
b = 2.0 [tex]\frac{m}{s^{2} }[/tex]
c = 6.7 [tex]\frac{m}{s}[/tex] ...(Given)
v = 2 × 2 × 4.1 - 6.7
v = 9.7 [tex]\frac{m}{s}[/tex]
The instantaneous velocity of the object when t = 4.1 is 9.7 [tex]\frac{m}{s}[/tex].