The acceleration of an object as a function of time is given by a(t) = (1,...
4. The position of an object as a function of time is given by x(t) at-bt ct-d, where a 3.6 m/s, b 4 m/s, c = 60 m/s and d= 7 m. (a) Find the instantaneous velocity at t =24 s. (b) Find the average velocity over the first 2.4 seconds, (c) Find the instantaneous acceleration at 2.4 s, (d) Find the average acceleration over the first 2.4 seconds. (Be sure to include the correct signs) (a) and (c) are...
The position of an object as a function of time is given as x= At^3 + Bt^2 + Ct + D. The constants are A=2.10m/s^3, B=1.00m/s^2, C=-4.10m/s, and D=3.00m. What is the velocity of the object at t = 10.0s? At what time(s) is the object at rest? What is the acceleration of the object t = 0.50s What is the acceleration as a function of time for the time interval from = -10.0s to t=10.0s
The acceleration of an object is given by the equation a(t) = 8, where a is in m/s2 and t is in seconds. The object is initially at rest at the origin. A constant force of 11 N acts on the object. What is the power delivered to the object at t = 5 s? 470 W 410. W 500. W 440. W 540. W
The position vs time of a object is given by 1. What is the y velocity in m/s at 4.5 seconds? Answer in m/s. 2. At what time is the speed equal to 15 m/s? Answer in s. 0 s 1 s 2 s 10 s 21/2 s 23/2 s 3. The velocity of an object vs. time is given by What is the acceleration at t = 2s? Note: the acceleration is non-constant! Take the derivative of the velocity!...
1)a)The acceleration of a car is given by the function a(t) = sin(t) m / s² at time t s. The average acceleration for 0 ≤ t ≤ π s is _____ m / s². Round your answer to two decimal places. b) The acceleration is given by a(t) = 4t at time t s. The initial position is 1 m, and, the initial velocity is 3 m / s. At time t = 4 s, the position is _____...
A car’s position as a function of time is given by the following equation: x(t) = 5 m/s t + 2.8 m/s2t2– 0.15 m/s3t3. Find the average velocity from 0 to 5 s. Find the instantaneous velocity at 0, 3, and 5 s. Find the average acceleration from 0 to 5 s. Find the instantaneous acceleration at 0, 3, and 5 s. At what POSITIVE time does the car come to rest?
The train's velocity is shown below as a function of time. Calculate the train's acceleration in from t = 0 seconds to t = 60 seconds. Please use 4 significant figures in the answer. Thank you! The train's velocity is shown below as a function of time. Calculate the train's acceleration in from t = 0 seconds to t = 60 seconds v (m/s) 10 6 t(s) 60 120 180
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...
4. A car's position as a function of time is given by the following equation: x(t)-5 m/s t+2.8 m/s2 t-0.15 m/s3 t3. a. Find the average velocity from 0 to 5 s b. Find the instantaneous velocity at 0, 3, and 5s. c. Find the average acceleration from 0 to 5 s. d. Find the instantaneous acceleration at 0, 3, and 5 s. e. At what POSITIVE time does the car come to rest?
The position vs time of a object is given by 1.What is the y velocity at 4.5 seconds? 2.At what time is the speed equal to 15 m/s? The velocity of an object vs. time is given by 3. What is the acceleration at t = 2s? We were unable to transcribe this imageWe were unable to transcribe this image