Aworker is being raised in a bucket lift at a constant speed of 3 ft/s. when the worker's arms are 10 ft off the ground, her coworker throws a measuring tape toward her. the measuring tape is thrown from a height of 6 ft with an initial vertical velocity of 15 ft/s. projectile motion formula: h = -16t2 + vt + h0 t = time, in seconds, since the measuring tape was thrown h = height, in feet, above the ground which system models this situation? h = 3t+10 and h = -16t2+15t+6 10t+3 and h = -16t2+6t+15 -16t2+3t + 10 and h =-16t2+15t+6 -16t2+10t + 3 and h = -16t2+6t+15

The option 1 is correct.

Step-by-step explanation:

It is given that the worker is being raised in a bucket lift at a constant speed of 3 ft/s. When the worker's arms are 10 ft off the ground, her coworker throws a measuring tape toward her.

Where a is initial height from the ground and b is rate of change in the height of workers hand from the ground.

The measuring tape is thrown from a height of 6 ft with an initial vertical velocity of 15 ft/s. Projectile motion formula,

 ..... (1)

Where v is the velocity and is the initial height. The height of measuring tape is defined by the equation.

      .... (2)

Therefore the system of equation contains equation (1) and (2).

From the figure we can say that the height is not same for any value of t because the graph does not intersect each other. So we can say that the worker is not able to catch the measuring tape.