(a) The velocity of a particle changes from v1 = 2i + 5j -3k m/s to v2 = 5i - 7j+ 2k m/s in 2 s. What is its average acceleration? (b) A particle has an acceleration of a = -7i + 3j m/s2 for a period of 4 s. After this time the velocity is V2 = 6i - 2k m/s. What was the initial velocity?

The acceleration of a particle is a constant. At t=0 the velocity of the particle is (14.91 + 18.4ĵ) m/s. At t = 4.6 s the velocity is 11.4j m/s. (Use the following as necessary: t. Do not include units in your answers.) (a) What is the particle's acceleration (in m/s²)? = î+ 18.4 v(t) = (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin. r(t) = î+ X Î- i) m/s m/s

a particle moves in one dimension, and its position as a function of time is given by x = (1.9m/s)t + (-2.6 m/s^2)t^2  what is the particles average velocity from t = 0.45 s to t = 0.55 s?    what is the particles average velocity from t = 0.49 s to t = 0.51 s?

A soccer ball starts from rest and accelerates with an acceleration of 0.385 m/s2 while moving down a 8.50 m long inclined plane. When it reaches the bottom, the ball rolls up another plane, where, after moving 14.75 m, it comes to rest. (a) What is the speed of the ball at the bottom of the first plane (in m/s)? (Round your answer to at least two decimal places.) m/s (b) How long does it take to roll down the first plane (in s)? (c) What is the magnitude of the acceleration along the second plane (in m/s?)? m/s2 (d) What is the ball's speed 8.20 m along the second plane (in m/s)? m/s (e) What If? You change the angles of the two inclines in such a manner that the new acceleration down the first incline is a, new down = 2a initiel down and up the second incline is a, new un x initial up, What is the ball's speed 8.20 m up the second plane (in m/s)? 2 m/s

Justin visits the Grand Canyon and drops a rockoff the edge of a cliff. The rock falls 12 m the firstsecond, 34 m the next second, 56 m the third second,and so on. What would be the total distance the rockfalls after 14 seconds?

A student drops an object out the window of the top floor of a high-rise dormitory. (a) Neglecting air resistance, how fast is the object traveling when it strikes the ground at the end of 3.9 s? First used standard British units and then express the speed in mi/h for a familiar comparison. (ft/s and mi/h) (b) How far, in meters, does the object fall during the 3.9 s? Comment on how many floors the dormitory probably has. (Assume that there are 32 floors/100 m.)

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?

The x component of the velocity of an object moving along the x axis is given as vy = 4t – 3t where vy is in meters per sec and t in seconds. The x component of its average velocity over the interval of time from t =0 to t= 2 sec is: O -2m/s O 2 m/s O -4m/s

The acceleration of a particle is a constant. At t = 0 the velocity of the particle is (15.8î + 18.4ĵ) m/s.At  = 3.6 s the velocity is 10.5ĵ m/s. (Use the following as necessary: t. Do not include units in your answers.)   (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin.

To visit your friend, you first drive on a highway at 55 mi/h for 1.6 hours and then drive on a local road at 20 mi/h for 0.7 hours. What is the average velocity of your trip in mi/h to your friend's home? Your Answer: Answer