Question

The acceleration of a race car during the first 35 seconds of a road test is...

The acceleration of a race car during the first 35 seconds of a road test is modeled as

a(t) = 0.024t2 − 1.74t + 22.57 ft/sec2

where t is the number of seconds since the test began.

(a) Write the definite integral notation representing the car's speed after the first 35 seconds.

a(t) dt



(b) Calculate the value of the definite integral in part (a). (Round your answer to one decimal place.)
ft/sec

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