Question

Sally's field hockey ball height function is given as h(t), where h(t) is in meters and t is in seconds. To determine if she has shot a dangerous ball, we need to evaluate h(t) at an appropriate time point.

If h(t) ≤ 1 meter, then Sally has not shot a dangerous ball.
a) True
b) False

Answer 1

Sally's field hockey ball is shot at 2.2 meters high, which is above the 1 meter threshold. Thus, her shot would be considered dangerous, making the answer to the student's original query False.

Step-by-step explanation:

The question revolves around the concept of projectile motion and determining whether a field hockey ball shot is dangerous based on its height. To assess if Sally's shot is dangerous, we look at the ball's height above the ground when it is shot. The given information allows us to calculate the gravitational potential energy with the formula mgh (mass × gravity × height). Sally's height is 1.7 meters, with the ball being 0.5 meters above her head when she shoots, resulting in a total height of 2.2 meters. If we are to evaluate the height function, h(t), at a height less than or equal to 1 meter, then the ball would not be considered dangerous, making the answer to the question False.