A PARTICLE IS MOVING ALONG A STRAIGHT LINE. ITS POSITION X AT TIME T IS GIVEN BY X=2T^3-3T^+2 FIND THE DISTANCE TRAVELLED BY THE PARTICLE IN THE FIRST 5 SECONDS

Question

A PARTICLE IS MOVING ALONG A STRAIGHT LINE. ITS POSITION X AT TIME T IS GIVEN BY X=2T^3-3T^+2 FIND THE DISTANCE TRAVELLED BY THE PARTICLE IN THE FIRST 5 SECONDS
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

To find the distance travelled by the particle in the first 5 seconds, we need to find the displacement of the particle at t=5 seconds and t=0 seconds and subtract the two.

The position function given is x = 2t^3 - 3t^2 + 2.

First, let's find the position of the particle at t=0 seconds:

x(0) = 2( Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

A PARTICLE IS MOVING ALONG A STRAIGHT LINE. ITS POSITION X AT TIME T IS GIVEN BY X=2T^3-3T^+2 FIND THE DISTANCE TRAVELLED BY THE PARTICLE IN THE FIRST 5 SECONDS

Distance traversed by a particle moving along a straight line is given by [180t + 50t^2]m. Find

The velocity time graph of a particle moving along a straight time as shown in figure. Calculate the displacement covered between t = 0 to t = 10 seconds.

The motion of a particle is described by the equation u=at. The distance travelled by particle in first 4s is. 4a 12a 6a 8a

he displacement of a particle is givenby 𝑥 = (𝑡 − 2)2 where x is in meters andt in seconds. The distance covered bythe particle in first 4 seconds is

1/3