Question

The position of a ball rolling in a straight line is given by x=1.1-2.7t 3.3t2 , where x is in meters and t in seconds. What is the position of the ball at t=2 seconds?

Answer 1

To find the position of the ball at t=2 seconds using the given equation x=1.1-2.7t+3.3t^2, we substitute t with 2 and solve for x, resulting in a position of 8.9 meters.

Step-by-step explanation:

The question asks what the position of the ball is at t=2 seconds given the position-time equation x=1.1-2.7t+3.3t2, where x is in meters and t in seconds. To find the position of the ball at 2 seconds, we substitute t with 2 in the equation:

x = 1.1 - (2.7 × 2) + (3.3 × 22)

x = 1.1 - 5.4 + (3.3 × 4)

x = 1.1 - 5.4 + 13.2

x = 8.9 meters

Therefore, the position of the ball at t=2 seconds is 8.9 meters.