A car travels in the +x -direction on a straight and level road. For the first 2.00 s of its motion, the average velocity of the car is υ av−x = 6.86 m/s .How does the car travel in 2.00 s

The position of an object is given as a function of time as x(t) = (-3.00 m/s)t + (1.00 m/s2)t2. What is the average speed of the object between t = 0.00 s and t = 2.50 s?

A racing enthusiast claims that his sports car will accelerate from rest to a speed of 40.0 m/s in 8.10 s. (a) Determine the magnitude of the average acceleration of the car (in m/s2). m/s2 (b) Assume that the car moves with constant acceleration. Find the distance (in m) the car travels in the first 8.10 s. m (c) What is the speed of the car (in m/s) 10.0 s after it begins its motion if it continues to move with the same acceleration? m/s

Some experimental researcher tells us that the position of an object as a function of time is given by x(t) = at3 - bt2 + ct - d, where the constants are a = 3.6 m/s3, b = 4.0 m/s2, c = 60 m/s and d = 7.0 m. Find the average acceleration over the first 2.4 seconds. A) 18 m/s/s B) 54 m/s/s C)36 m/s/s D) 76 m/s/s

A car is traveling along a straight road at a velocity of +39.5 m/s when its engine cuts out. For the next 2.81 seconds, the car slows down, and its average acceleration is a,. For the next 5.65 seconds, the car slows down further, and its average acceleration is ₂. The velocity of the car at the end of the 8.46-second period is +28.6 m/s. The ratio of the average acceleration values is ā,/₂ = 1.78. Find the velocity of the car at the end of the initial 2.81-second interval. 2

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.

An antelope moving with constant acceleration covers the distance 65.0 mm between two points in time 7.00 ss. Its speed as it passes the second point is 16.0 m/sm/s.

A motorcycle has a constant acceleration of 3.95 m/s². Both the velocity and acceleration of the motorcycle point in the same direction. How much time is required for the motorcycle to change its speed from (a)19.4 to 29.4 m/s, and (b)49.4 to 59.4 m/s? (a) Number i Units (b) Number i Units

A person hits a trampoline while moving downward with a speed of 9 m/s and rebounds a short time later with roughly the same speed upward. If the person is in contact with the trampoline for about 1.8 s, what are the magnitude and direction of the person’s average acceleration during this time interval? (Hint: You can ignore the effects due to gravity

The velocity of a particle moving along the x-axis varies in time according to the expression v(t) = α - βt2 where α = 52.9m/s , β = 3.72m/s3,  and t is in seconds.  a) Find the acceleration in the time interval from t = 0 to 2.97s in units of m/s2 b) Determine the acceleration of the particle tf = 2.97s in m/s2