Please help me with this assignment.- Physics, Engineering Science.
II. What is the Police officer’s speed at that time?
III. At that time, what distance has each vehicle traveled?
b. The volume of an object as a function of time is calculated by
V= At3+ B/t
, where t is time measured in seconds and V is in cubic meters. Determine the dimension of the constants A and B.
(I) a. Let's assume that police officer catches the biker after t seconds
Distance travelled by them in time t is same
"15\u00d7t=u+\\frac{1}{2}a\u00d7t^2"
Initial speed of police officer(u)=0 m/s, acceleration (a)=3m/s2
"15\u00d7t=\\frac{1}{2}\u00d73\u00d7t^2"
Time(t)=10 seconds
(II) The officer speed (v)=a×t=3×10=30m/s
(III) Distance (d)=0.5×a×t2=0.5×3×100=150 meters
b. Unit of (A×t3)= Unit of ("\\frac{B}{t})" =Unit of (Volume)
Therefore,
Unit of (A)=(m3)/(sec3)
Unit of (B)=(m3×sec)
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