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
Question
The displacement of a particle is given by
where x is in meters and t in seconds. The distance covered by the particle in the first 4 seconds is:
Solution
The displacement of a particle is given by the equation 𝑥 = (𝑡 − 2)². This is a parabolic equation, which means the particle moves in a parabolic path.
Step 1: Find the displacement at t=0s and t=4s.
At t=0s, x = (0-2)² = 4 meters (to the left of the origin, assuming right is positive) At t=4s, x = (4-2)² = 4 meters (to the right of the origin)
Step 2: Calculate the total distance covered.
The particle moves 4 meters to the left, then 4 meters to the right. So, the total distance covered by the particle in the first 4 seconds is 4m (left) + 4m (right) = 8 meters.
Similar Questions
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
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
Figure 4 is a velocity–time graph for an objectmoving with constant acceleration. Determine thedisplacement of the object over the interval 0 s to4.0 s.
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
A particle is moving along a circle suchthat it completes one revolution in 40seconds. In 2 minutes 20 seconds, theratio |𝑑𝑖𝑠𝑝𝑙𝑎𝑐𝑒𝑚𝑒𝑛𝑡|𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 is
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.