In the Quasar carnival ride, passengers travel in a horizontal 5.0-m-radius circle. For safe operation, the maximum sustained acceleration that riders may experience is 20 m/s2, approximately twice the free-fall acceleration. What is the period of the ride when it is being operated at the maximum acceleration? How fast are the riders moving when the ride is operated at this period?

The position of a bird in the xy-plane is given by Bti + (yt-c t2)j where a = 1.2 m/s2, y = 2.4 and ß = -4.8 m/s. What is the bird's net acceleration at 2.0 s (magnitude and direction)? O 2.4 m/s? in the -y direction 7.2 m/s2 in the +y direction O 1.2 m/s? in the +y direction O7.2 m/s? in the -y direction 5.4 m/s2 in the +y direction O 5.4 m/s2 in the -y direction O 2.4 m/s2 in the +y direction O 1.2 m/s² in the -y direction

A particle travels along the +x axis. At t = 0 s, its velocity is 10.0 m/s and its acceleration is -2.0 m/s^2.  Question A: Which of the following statements is true?           1. The particle will slow down and eventually come to a complete stop           2. The particle cannot have a negative acceleration and be moving in the positive x direction           3. The particle will continue to move in the positive x direction, slowing but never coming to a complete stop.           4. The particle will slow down, stop momentarily, then speed up in the x- direction.  Question B: At what time will the particle be stopped?           1. t = 5.0 s          2. t = -5.0 s          3. t = -0.2 s          4. The particle does not ever stop  Question C: What is the particle's displacement from its initial position at t = 10.0 s ?  Please Answer questions A, B, and C

Suppose that in the future humans can travel to different earth like planets within our galaxy. You take a trip to a new planet with a different gravitational acceleration than earth. To test this gravitational acceleration, you decide to drop a ball a distance of 2 meters. You measure how long it takes the ball to fall 2.0 meter multiple times and take an average. The average drop time is 0.52 seconds. What is the approximate magnitude of the gravitational acceleration of the planet (in units of m/s squared)?