Question

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?

Answer 1

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