The distance, d, in feet traveled by a certain moving object follows the model d = 32t + 16t^2. How many seconds will it take the object to travel 48 feet?

Given :-

The distance, d, in feet traveled by a certain moving object follows the model d = 32t + 16t².

To find :-

How many seconds will it take the object to travel 48 feet?

Solution :-

Replace d with 48 ,

48 = 16t² + 32t 48 = 16( t² + 2t )3 = t² + 2t t² + 2t - 3 = 0 t² + 3t - t - 3 = 0t( t +3) -1( t+3) = 0 (t-1)(t+3) = 0t = 1 , -3 t = 1s

Ithink it’s d as the answer.