Question

At time t = 0s, an object is at x = 1.0m on the x-axis, moving with velocity vx = 2.0m/s. The object's acceleration is ax = bt, where b = 3.0m/s^3. What is the position x of the object at t = 4s?

Name: at time t 0s an object is at x 10m on the x axis moving with velocity vx 20ms the objects acceleration is ax bt where b 30ms3 what is the position x of the object at t 4s 70195
Uploaded: 2022-09-01T13:44:12-08:00
Duration: 3 min 36 s
Channel: Prabhu Ramji
Description: at time t 0s an object is at x 10m on the x axis moving with velocity vx 20ms the objects acceleration is ax bt where b 30ms3 what is the position x of the object at t 4s 70195

          At time t = 0s, an object is at x = 1.0m on the x-axis, moving with velocity vx = 2.0m/s. The object's acceleration is ax = bt, where b = 3.0m/s^3. What is the position x of the object at t = 4s?

Added by Daniel D.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Prabhu Ramji

09/01/2022

Step 1

Given acceleration, \(a_x = bt = 3t\) m/s^2 Integrate to find the velocity: \[\int a_x dt = \int 3t dt\] \[v = \frac{3}{2}t^2 + C\] Given initial velocity at \(t = 0\), \(v_0 = 2\) m/s, we can find the constant \(C\): \[v_0 = \frac{3}{2}(0)^2 + C\] \[C = Show more…

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At time t = 0s, an object is at x = 1.0m on the x-axis, moving with velocity vx = 2.0m/s. The object's acceleration is ax = bt, where b = 3.0m/s^3. What is the position x of the object at t = 4s?