The motion of an object along a straight line is described by the equation x = 3t - 4t^2 + t^3. What is the initial velocity of the object?
1 mark
🔍 View Detailed Solution & Schema →

Question

The motion of an object along a straight line is described by the equation x = 3t - 4t^2 + t^3. What is the initial velocity of the object?

Accepted Answer

Velocity v = dx/dt = 3 - 8t + 3t^2. At initial time t = 0, v = 3 - 8(0) + 3(0)^2 = 3 m/s. Therefore, the correct option is 3 m/s.

Motion in a Straight Line