Question
An object with mass $m$ moves along the $x$ -axis. Its position at any time is given by $x(t)=p t^{3}+q t^{2}$ where $p$ and $q$ are constants. Find the net force on this object for any time $t$
Step 1
We need to find the velocity of the object, which is the derivative of the position with respect to time. So, we differentiate $x(t)$ with respect to $t$ to get the velocity $v(t)$: \[v(t) = \frac{dx}{dt} = 3pt^{2} + 2qt\] Show more…
Show all steps
Your feedback will help us improve your experience
Zulfiqar Ali and 98 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
An object with mass $m$ moves along the $x$ -axis. Its position as a function of time is given by $x(t)=A t-B t^{3},$ where $A$ and $B$ are constants. Calculate the net force on the object as a function of time.
An object with mass $m$ is moving along the $x$ -axis according to the equation $x(t)=\alpha t^{2}-2 \beta t,$ where $\alpha$ and $\beta$ are positive constants. What is the magnitude of the net force on the object at time $t=0 ?$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD