9) Assume that a moving object has constant acceleration a for all t>0 a) Determine a...
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vector v i = (3.00 i - 2.00 j) m/s and is at the origin. At t = 3.60 s, the particle's velocity is vector v = (8.90 i + 7.70 j) m/s. (Use the following as necessary: t. Round your coefficients to two decimal places.) (a) Find the acceleration of the particle at any time t. vector a = m/s2 (b)...
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vector v i = (3.00 i - 2.00 j) m/s and is at the origin. At t = 3.70 s, the particle's velocity is vector v = (7.40 i + 6.90 j) m/s. (Use the following as necessary: t. Round your coefficients to two decimal places.) (a) Find the acceleration of the particle at any time t. vector a = m/s2 (b)...
The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after 3 sec. (Round your answers to three decimal places.) ft/sec ft/sec2 a(3) The position of an object moving along a straight line is given by where s is measured in feet and t in seconds. Find the velocity v(t) and acceleration a(t) of the object after...
. If the acceleration of an object is constant and we make a graph of the acceleration vs time, what function should fit the data? That is, if I write a ft), what is f(t)? 2. Velocity is the integral of acceleration. If the acceleration of an object is constant and we make a graph of the velocity vs time, what function should fit the data? 3. Position is the integral of velocity. If the acceleration of an object is...
2. An object on the moon falls with a constant gravitational acceleration of −1.6m/s2. An astronaut drops a hammer from a height of 6m with an initial velocity of 0m/s. (a) Find the position function s(t) and the velocity function v(t) of the hammer. (b) After how many seconds will the hammer hit the ground? **Can you give me the solution step by step by using notes or videos? So I can understand
(10 pts) The acceleration of an object is given by the vector function at) = (2,6t, 6). The initial velocity of the object is v(0) = (0,1,2) and the initial position of the object is r(0) = (0,0,5). (a) Find v(t). (b) Find the position of the object at time t = 1. Simplify your answer completely.
(ii)(a) An object is moving with constant acceleration in 1D (along a straight line), what is its position x(t) as a function of time, given its initial position xo, initial velocity vo and acceleration a? (b) How do you derive its velocity as a function of time from x(t)? (c) Why is the funciton of x(t) the key for predicting eclipses and hurricanes?
If an object is thrown with a velocity of v feet per second at an angle of θ with the horizontal, then its flight can be modeled by, x = (v cos θ ) t and y = v (sin θ ) t - 16 t2 + h where t is in seconds and h is the object's initial height in feet above the ground. x is the horizontal position and y is the vertical position, and - 16 t2...
Suppose an object is dropped from an airplane with initial position, y(0) = 1200 ft. Assuming linear air resistance pv ft/sa, the formulas for velocity and position are, v(t) = (vo – Vr) e-pt +ve and 1 Yo + vrt +- (vo – v-) (1 - e-pt) Use p= 0.31 , g = 32 ft/s2 to answer the following. What is the position of the object at t = 4 sec.? (Give two decimal places.) When will the object reach...
PYTHON HOMEWORK When an object is falling because of gravity, the following formula can be used ot determine the distance the object falls during a specific time period: d=1/2 g t^2 The variables in the formula are as follows: d is the distance in meters(m), g is the acceleration due to gravity, an and its value is 9.8 m/s^2, t is the time duration in seconds(s). Write a function named falling_distance() that accepts an object's falling duration(time) in seconds as...