Vector uses in physics – Calculate velocity and acceleration – Exercise 3862 Post category:Vector Uses in Physics Post comments:0 Comments Exercise A point moves along the curve r⃗(t)=2costi⃗+3sintj⃗+4tk⃗\vec{r}(t)=2\cos t\vec{i}+3\sin t\vec{j}+4t\vec{k}r(t)=2costi+3sintj+4tk Calculate the velocity and acceleration of the point in time t=π2t=\frac{\pi}{2}t=2π Final Answer Show final answer v⃗(t)=−2sinti⃗+3costj⃗+4k⃗\vec{v}(t)=-2\sin t\vec{i}+3\cos t\vec{j}+4\vec{k}v(t)=−2sinti+3costj+4k v⃗(π2)=−2i⃗+4k⃗\vec{v}(\frac{\pi}{2})=-2\vec{i}+4\vec{k}v(2π)=−2i+4k a⃗(t)=−2costi⃗−3sintj⃗+0k⃗\vec{a}(t)=-2\cos t\vec{i}-3\sin t\vec{j}+0\vec{k}a(t)=−2costi−3sintj+0k a⃗(π2)=−3j⃗\vec{a}(\frac{\pi}{2})=-3\vec{j}a(2π)=−3j Solution Coming soon… Share with Friends Read more articles Previous PostVector uses in physics – Calculate velocity and acceleration – Exercise 3866 Next PostVector uses in physics – Calculate velocity and acceleration – Exercise 3844 You Might Also Like Vector uses in physics – Calculate velocity and acceleration – Exercise 3852 March 4, 2019 Vector uses in physics – Calculate velocity and acceleration – Exercise 3844 March 4, 2019 Vector uses in physics – Calculate velocity and acceleration – Exercise 3866 March 5, 2019 Vector uses in physics – Calculate motion – Exercise 3868 March 5, 2019 Vector uses in physics – Calculate motion – Exercise 3874 March 5, 2019 Vector uses in physics – Calculate angle between velocity vector and acceleration vector – Exercise 3878 March 5, 2019 Leave a Reply Cancel replyCommentEnter your name or username to comment Enter your email address to comment Enter your website URL (optional) Δ
Vector uses in physics – Calculate angle between velocity vector and acceleration vector – Exercise 3878 March 5, 2019
