Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  • A particle is moving along the x- axis with its coordinate with time 't' given by . Another particle is moving along the y-a

A particle is moving along the x- axis with its coordinate with time 't' given by x(t)=10+8t-3t^2. Another particle is moving along the y-axis with its coordinate as a function of time given by y(t)=5-8t^3. At t=1 s, the speed of the second particle measured in the frame of the first particle is given by \sqrt{v}. Then v (in m/s) is ____________.
Option: 1 580
Option: 2 700
Option: 3 100
Option: 4 300
 

Answers (1)

best_answer

\begin{aligned} &x_{A}=-3 t^{2}+8 t+10 \\ &\vec{v}_{A}=(-6 t+8) \hat{i} \\ &\text { At time } t=1 \mathrm{~s} \\ &\vec{v}_{A}=2 \hat{i} \\ &Y_{B}=5-8 t^{3} \end{aligned}

\vec{v}_{B}=-24 t^{2} j

At time t= 1 s

\vec{v_{B}}=-24 \hat{j}

\begin{aligned} &\sqrt{v}=\left|\vec{v}_{B}-\vec{v}_{A}\right|=|-24 \hat{j}-2 \hat{i}| \\ &\sqrt{v}=\sqrt{580} \end{aligned}

So the value of v is 580

Posted by

vishal kumar

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

IIIT Allahabad cut-offs for BTech ECE, IT, IT-Business Informatics goes up in last 3 years; seat matrix
anam-khan

IIIT Hyderabad JEE Main cut-offs for BTech CSE, ECE of last 5 years; modes of admissions for dual degrees
anam-khan

JEE Mains 2025 paper 2 objection window closes tonight; final answer key soon

Latest Question