An object moves along the x axis, with its position given by the function x(t) = ½ t3. Which of the following can be obtained from a graph of x vs. t?

A car traveling at a constant speed of 27.5 m/s passes a trooper hidden behind a billboard. One second after the speeding car passes the billboard, the trooper sets off in chase with a constant acceleration of 3.30 m/s2. Which one of these graphs represents the troper and car motion?

A PTA is making a home visit to a patient while working for a home health care agency.  Her patient is diagnosed with iron deficient anemia. As the PTA arrives she finds the home health aide bringing groceries into the patient’s home.  The PTA decides to include a food storage activity with the patient to challenge the patient with balance and functional reach activity in her home.  The PTA observes that the foods are soft drinks, salty snacks, candy, ice cream and cereals.  Name 2 food groups and 1 type of exercise that you would recommend to the patient that would help with the patient’s condition.  FOOD:____________________________________________________EXERCISE______________________________________________________________.

A rock is thrown straight up with an initial velocity of 25.0 m/s. What maximum height will the rock reach before starting to fall downward? (Take acceleration due to gravity as 9.80 m/s2.)​

A Cessna aircraft has a lift-off speed of 135 km/h. What minimum constant acceleration does this require if the aircraft is to be airborne after a take-off run of 260 m?​

Which of the following over the counter (OTC) medications will increase the risk of gastric ulcers?

A football player runs from his own goal line to the opposing team’s goal line, returning to his twenty-yard line, all in 24.3 s. Calculate his average speed and the magnitude of his average velocity.  Calculate his average speed and the magnitude of his average velocity.

As a projectile moves in its path, is there any point along the path where the velocity and acceleration vectors are perpendicular to each other?

A man on a road trip drives a car at different constant speeds over several legs of the trip. He drives for 40.0 min at 55.0 km/h, 9.0 min at 60.0 km/h, and 30.0 min at 30.0 km/h and spends 35.0 min eating lunch and buying gas. What is the average speed for the entire trip (in km/h)?

The normal GI system should include these structures: