If we measure acceleration (a) in m/s2, velocity (v) in m/s, position (x) in meters, and...
A car starts at position x = 0, with an initial velocity of 3.5 m/s and an acceleration of 0 m/s2. What is its position when the elapsed time is 7.4 s? (Please be sure to include units in your answer. Express your answer to one decimal point.)
A race car moves such that its position fits the relationshipx=(0.5m/s)t+(0.75m/s2)t2 where:x in meters (m) and t in second (s)Plot a graph of position vs. timeDetermine the instantaneous velocity at 4 sec, using a time interval of 0.2 secCompare the average velocity during the first 4 sec with the results.Show graph and solution
A particle initially located at the origin has an acceleration of vector a = 2.00ĵ m/s2 and an initial velocity of vector v i = 6.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). ( t î + t2 ĵ) m (b) Find the velocity of the particle at any time t. ( î + t ĵ) m/s (c) Find the coordinates of the particle at t = 3.00...
A particle initially located at the origin has an acceleration of vector a = 4.00ĵ m/s2 and an initial velocity of vector v i = 9.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). ( t î + t2 ĵ) m (b) Find the velocity of the particle at any time t. ( î + t ĵ) m/s (c) Find the coordinates of the particle at t = 9.00...
The velocity v, in meters per second, is given as a function of time t, in seconds, by v(t) = -0.679t2 + 1.15t – 9.89 What is the acceleration at time t = 3.49 s? acceleration: m/s2
A polo ball is hit with a mallet off the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 18.2t and y = 4.04t − 4.90t2, where x and y are in meters and t is in seconds. (Do not include units in your answer.) (a) Write a vector expression for the ball's position as a function of time (in m), using the unit vectors î and ĵ. (Give the answer in...
An object moves along the x-axis with its position x, in meters, given as a function of time t, in seconds, by x(-1.417-9.491+ 4.68 r(t)-1.41 t2-9.4% + 4.68 What is the object's velocity at time t 1.01 s? Number m/ s
A car has an initial position of x = 0 m, an initial velocity of 0 m/s, and a constant acceleration of 1.4 m/s2. What is its position when the time is 5.4 seconds? (Please be sure to include units in your answer. Express your answer to one decimal point.)
The position x, in meters, of an object is given by the equation x = A + Bt + Ct 2, where t represents time in seconds. What are the SI units of A, B, and C? A m, s, s B m, m/s, m/s2 C m, m, m D m/s, m/s2, m/s3 E m, s, s2
The velocity of a particle is given by v = 217 - 116t+ 33, where v is in meters per second and t is in seconds. Plot the velocity v and acceleration a versus time for the first 6.7 seconds of motion and evaluate the velocity when a is zero. Make the plots and then answe the questions. Questions: When t = 0.7 s, ya m/s2 When t = 3.4 5, y = Im/s, a - Im/s, a - m/s,...