Published by:
CGP EDU Academic Team
Published on: September 12, 2026
The position vector of a particle is determined by the expression \vec{r} = 3t^{2}\hat{i} + 4t^{2}\hat{j} + 7\hat{k} The distance traversed in first 10 sec is
Text Solution
Verified by ExpertsThe correct answer is:
A
\vec{r} = 3t^{2}\hat{i} + 4t^{2}\hat{j} + 7\hat{k}
t = 0 , \vec{r}_1 = 7 \hat{k}
at \(t = 10 \text{sec}\) , \vec{r}_2 = 300\hat{i} + 400\hat{j} + 700\hat{k} ,
\vec{\Delta r} = \vec{r}_2 - \vec{r}_1 = 300\hat{i} + 400\hat{j}
\(|\vec{\Delta r}| = |\vec{r}_2 - \vec{r}_1| = \sqrt{(300)^2 + (400)^2} = 500\,m\)
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The vector projection of a vector 3\hat{i} + 4\hat{k} on y -axis is
Position of a particle in a rectangular-co-ordinate system is (3,2,5) . Then its position vector wi…
If a particle moves from point \(\mathbf{P}(2,3,5)\) to point Q(3,4,5) . Its displacement vector be
A force of 5 N acts on a particle along a direction making an angle of 60° with vertical. Its verti…
If \(\mathbf{A} = 3\hat{i} + 4\hat{j}\) and \(\mathbf{B} = 7\hat{i} + 24\hat{j}\) , the vector havi…
Vector \vec{A} makes equal angles with x,y and z axis. Value of its components (in terms of magnitu…