An object is moving at a constant velocity of 2.0 m/s due east from t = 0 s to t = 2 s. The object starts accelerating from t = 2 s, and its speed increases until t = 6 s at the rate of 0.4 m/s2.   (a) What is the displacement of the object from t = 0 s to t = 2 s?  (b) What is the displacement of the object from t = 2 s to t = 6 s?  (c) What is the velocity of the object at t = 6 s?    If the object slows down at the rate of 0.8 m/s2 from t = 6 s until it stops, (d) how long does it take the object to come to stop (velocity is 0 m/s)?  (e) what is the total displacement from t = 0 s to the time the object stops?

A racing car reaches a velocity of 52 m/s north. It then uses its parachute and braking system to uniformly slow down and come to rest 5.5 seconds later. What was the displacement, in meters, of the racing car during those 5.5 seconds?

Shown below is a graph of velocity-versus-time for a moving object. The object starts at position x = 0 m at t = 0 s. What is the final position at t = 4.0 s, in meters?

5. A cyclist rides 8.0 km east for 20 minutes, then he turns and heads west for 8 minutes and 3.2 km. Finally, he rides east for 16 km, which takes 40 minutes. (a) What is the final displacement of the cyclist? (b) What is his average velocity?

Question 4: The position of an object moving along an x-axis is given by x = 4t – 5t? + t³, where x is in meters and t is in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 3 s? (f) What is its average velocity for the time interval from t = 2 s to t = 4 s?

An object has an initial velocity of 15 m/s. How long must it accelerate at a constant rate of 3 m/s square before it's final velocity is equal to twice it's initial velocity?

An article explains that the locomotion of different-sized animals can be compared when they have the same Froude number, defined as F = gl velocity, g is the acceleration due to gravity (9.81 m/sec2) and I is the animal's leg length. (a) Different animals change from a trot to a gallop at the same Froude number, roughly 2.56. Find the velocity at which this change occurs for an animal with a leg length of 1.12 m. (b) Ancient footprints of a dinosaur are roughly 1.4 m in diameter, corresponding to a leg length of roughly 5.6 m. By comparing the stride divided by the leg length with that of various modern creatures, it can be determined that the Froude number for this dinosaur is roughly 0.025. How fast was the dinosaur traveling? (a) The velocity at which this animal changes change from a trot to a gallop is (Round to the nearest tenth as needed.) where v is the animal's (...) m/sec.

Starting at x = - 14 m at time t = 0 s, an object takes 17 s to travel 42 m in the +x direction at a constant velocity. On a sheet of paper, make a position vs. time graph of the object's motion. What is its velocity

A family drives on a trip to visit their relatives.  On the first day they travel 550 miles with an average speed of 50 mi/hr, on the second day 420 miles with an average speed of 35 mi/hr and on the third day 585 miles with an average speed of 45 mi/hr. a) What is the total driving time? b) What is the average speed for the trip?

A long distance runner has an average speed of 3.0 m/s. How far (in m) does the runner travel in 20 min?