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
Question
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
Solution
The motion of a particle is described by the equation u = at, where 'u' is the velocity, 'a' is the acceleration, and 't' is the time.
The distance travelled by the particle is given by the equation s = ut + 0.5at^2.
Since the initial velocity (u0) is 0 (as the particle starts from rest), the equation simplifies to s = 0.5at^2.
Substituting the given values into the equation:
s = 0.5 * a * (4s)^2 s = 0.5 * a * 16s^2 s = 8as
So, the distance travelled by the particle in the first 4 seconds is 8a.
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
11 A particle travels in a straight line so that, t seconds after passing a fixed point A on the line, itsacceleration, a ms–2, is given by a = –2 – 2t. It comes to rest at a point B when t = 4.(i) Find the velocity of the particle at A. [4](ii) Find the distance AB.
The acceleration 'a' in m/s2 of a particle is given by a = 3t2 + 2t + 2 where t is the time. If the particle starts out with a velocity, u = 2 m/s at t = 0, then the velocity at the end of 2 seconds will be :12 m/s18 m/s27 m/s36 m/s
The time period of a particle is 8 s8 s. At t=0𝑡=0, it is at the mean position. The ratio of distance covered by the particle in 1st1𝑠𝑡 second and 2nd2𝑛𝑑 second will be
The displacement of a particle moving in a straight line is described by the relation 𝑆=6+12𝑡−2𝑡2. Here S in meter and t is in sec. The distance covered by the particle in first 5s 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.