Question

The motion of particle is given by s = 1+4t -2t2

Answer 1

Answer:

acceleration = -4 m/sec²

here acceleration is constant so particle is in uniformly accelerated motion

Step-by-step explanation:

v = ds/dt

v = (4 - 4t) m/ sec

a = dv/dt

a = -4 m/sec²

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Answer 2

Therefore the velocity of the particle for the given motion equation is '( 4-4t )'.

Given:

The displacement equation of the particle, s = 1 + 4t - 2t²

Where s = displacement traveled by the particle

t = time taken by the particle

To Find:

The velocity of the particle.

Solution:

The given question can be easily solved as shown below.

Given equation : s = 1 + 4t - 2t²

The velocity of the particle,

⇒ v = ds/dt = d( 1 + 4t - 2t² )/dt

⇒ v = d1/dt + 4dt/dt - 2dt²/dt

⇒ v = 0 + 4 - 4t

Hence velocity of the particle = 4-4t

Therefore the velocity of the particle for the given motion equation is '( 4-4t )'.

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