[size=4]An autonomous vehicle prototype, designed for urban driving, begins decelerating at time t = 0 s while traveling at 16 m/s. Its intelligent braking system applies a variable deceleration modeled by a(t)= −0.50t m/s², simulating adaptive stopping in response to road conditions. Considering the above braking pattern, Which of the following represents the exact time the car comes to rest?[/size]

[size=4]Continuing from the previous scenario: the autonomous vehicle begins braking at t=0 with a velocity of 16 m/s, and decelerates according to the equation a(t)= −0.50t m/s². Suppose the vehicle needs to stop before hitting a crosswalk where a pedestrian suddenly appears, estimate the distance covered in the first 4 seconds after braking begins.[/size]

[size=4]A basketball referee tosses the ball straight up for the starting tip-off. At what velocity must a basketball player leave the ground to rise 1.25 m above the floor in an attempt to get the ball?[/size]

[size=4]A diver bounces straight up from a diving board, avoiding the diving board on the way down, and falls feet first into a pool. She starts with a velocity of 4.00 m/s and her takeoff point is 1.80 m above the pool. What is her highest point above the board?[/size]

[size=4]A diver bounces straight up from a diving board, avoiding the diving board on the way down, and falls feet first into a pool. She starts with a velocity of 4.00 m/s and her takeoff point is 1.80 m above the pool. How long a time are her feet in the air?[/size]