th-position-vector-rt-2t4-3ti-7-t2j-what-is-its-instantaneous-velocity-vector-vt

Question

A particle moves in the plane with position vector R→(t)=(2t4−3t)i^+(7−t2)j^\overrightarrow{R}\left(t\right)=\$$left(2t^4-3t$$\right)\hat{i}+\$$left(7-t^2$$\right)\hat{j}. What is its instantaneous velocity vector V→(t)\overrightarrow{V}\left(t\right)?

Accepted Answer

(8t3−3)i^−2tj^\$$left(8t^3-3$$\right)\hat{i}-2t\hat{j}

Answer

(8t3−3)i^+2tj^\$$left(8t^3-3$$\right)\hat{i}+2t\hat{j}

Answer

8t3i^+(7−$$2t)j^8$t^3$$\hat{i}+\left(7-2t\right)\hat{j}

Answer

(2t4−3)i^−2tj^\$$left(2t^4-3$$\right)\hat{i}-2t\hat{j}

A particle moves in the plane with position vector R→(t)=(2t4−3t)i^+(7−t2)j^\(\overrightarrow{R}\]\left\)(t\(\right\))=\(\left\)(2t^4-3t\(\right\))\(\hat{i}\)+\(\left\)(7-t^2\(\right\))\(\hat{j}\). What is its instantaneous velocity vector V→(t)\(\overrightarrow{V}\]\left\)(t\(\right\))?

A particle moves in the plane with position vector $\vec{R} (t) = (2 t^{4} - 3 t) \hat{i} + (7 - t^{2}) \hat{j}$ . What is its instantaneous velocity vector $\vec{V} (t)$ ?