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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?

Respuesta :

VirαtKσhli

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 = 0
  • t( t +3) -1( t+3) = 0
  • (t-1)(t+3) = 0
  • t = 1 , -3
  • t = 1s
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