Question

Two football players move in a straight line directly toward one another. Their equations of motion are as follows:

X 1 = 0.1 m + (- 3.1 m/s) t
X 2 = - 6.3 m + ( 2.8 m/s) t
At what time do the players collide?

Answer 1

To determine the time at which two football players collide, set their equations of motion equal to each other and solve for time 't'. The equations are X1 = 0.1 m + (-3.1 m/s) * t and X2 = -6.3 m + (2.8 m/s) * t. Once you solve for 't', you have the time of their collision.

Step-by-step explanation:

The question involves determining the time at which two football players moving towards each other collide based on their equations of motion. To find the time of collision, we set the two equations equal to each other and solve for the variable t (time). The equations given are:

X1 = 0.1 m + (- 3.1 m/s) * t

X2 = - 6.3 m + (2.8 m/s) * t

To find the collision time t, we set X1 equal to X2:

0.1 m - 3.1 m/s * t = - 6.3 m + 2.8 m/s * t

Solving for t gives us the time of collision. To simplify the equation, combine like terms and solve for t. Once you find the value of t, that will be the time at which the players collide.