(TCO 6) Suppose that an object is traveling along a straight line. Suppose that its velocity function is given by
v(t) = 8t^2 -6t
where t is in seconds.
Find the object's instantaneous acceleration at t=7 seconds.
93
100
106
118
120

Question

(TCO 6) Suppose that an object is traveling along a straight line. Suppose that its velocity function is given by
v(t) = 8t^2 -6t 
where t is in seconds.
Find the object's instantaneous acceleration at t=7 seconds.
      93
      100
      106
      118
      120

anonymous · Answer

Compute the derivative of the velocity function with respect to time:$$a(t)=v'(t)=16t-6$$Solve when t=7$$a(7)=16(7)-6=106$$: