V^2 = 6t^2
Differentiate with respect to time
2dv/dt= 6 x 2 x t
a= 6t
a = 12m/s^2
QUESTION 6 The speed of an object as a function of time is given by the...
The speed of an object function of time is given by the following equation: a. What is the magnitude of the object's acceleration (in m/s2) at t = 11 s? b. What is the object's position if it started at x = 3 m?
Question 2 1 pts Object A has a position as a function of time given by ält) (3m/s)ti + (I m/s yej. object B has a position as a function of time given by b(t) (4m/s)ti +(-1m/st) j distance between object A and object B at time t 5 s? .Object 2t2. What is the Question 3 1 pts An object has a position given byi (2m + (5 m/s)t) i + (3m -(1 m/s2)t2) j Determine the velocity of...
Given information: An object is moving with velocity (in feet per second) described by the function v (t) = 4t + 1. We will reason about the object's position function, 8 (t). Question 1 How much does the position change over the time interval (0,4) Answer with a number only (units are feet) 36 Question 2 Question: Think back to the total change theorem. What additional Information would allow us to find a(4), the object's position at time t =...
Please help me with these 2! QUESTION 4 The energy of an isolated system moving in a straight-line along the x-axis is given by the following equation: J E = (akg) v. + b X m If a = 6 and b = 6, what is the magnitude of the acceleration of this system (in m/s2)? QUESTION 4 The angular acceleration of an object as a function of time is given by the equation: rad 2 a(t)= a در 4...
The speed of an object undergoing 1-dimensional motion is given by the following equation: What is the magnitude of the acceleration of the object (in m/s2) at x = 10 m? I got this much But can't figure out how to deal with both variables We were unable to transcribe this imageWe were unable to transcribe this image
A speed-time graph is shown below: Speed vs. Time Speed (cm/s) -> Time (seconds) What is the average acceleration of the object represented in the graph above over the eight seconds? 0.5 cm/s 1.0 cm/s2 1.5 cm/s2 2.0 cm/s2 An object starts at rest. Its acceleration over 30 seconds is shown in the graph below: Acceleration vs. Time Acceleration (m/s) 153 Time is) 205 In the graph above, what is the instantaneous speed of the object after the first five...
An object is at x at t and moves along the x axis according to the velocity-time graph shown below v (m/s) 20 10 -10 (a) What is the object's acceleration between 0 and 4.0 s? m/s2 (b) What is the object's acceleration between 4.0 s and 9.0 s? m/s2 (C) What is the object's acceleration between 13.0 s and 18.0 s? m/s2 (d) At what time(s) is the object moving with the lowest speed? (If there is more than...
The angular position of a rotating object is given as a function of time by ? = 4t 3 - 3t, where ? is in radians and t is in seconds. What is its angular acceleration at t = 2 s? A None of the choices are correct. B 48 rad/s2 C 42 rad/s2 D 24 rad/s2 E 45 rad/s2
An object's position is given by the equation:a. What is the velocity of the object as a function of time? b. What is the acceleration of the object as a function of time? c. What is the magnitude of the instantaneous velocity at t = 3.0 s? d. What is the direction of the acceleration? (specify an angle relative to the + x axis).
Object A has a position as a function of time given by r A(t) = (3.00 m/s)t i^ + (1.00 m/s2)t2 j^. Object B has a position as a function of time given by rB(t) = (4.00 m/s)t i^ + (−1.00 m/s2)t2 j^. All quantities are SI units. What is the distance between object A and object B at time t = 3.00 s?