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Home » The x and y coordinates of the particle at any time are x = 5t – 2t2 and y = 10t respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t = 2 s is
The x and y coordinates of the particle at any time are x = 5t – 2t2 and y = 10t respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t = 2 s is
Physics | Physics
The x and y coordinates of the particle at any time are x = 5t – 2t2 and y = 10t respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t = 2 s is

(1) 5 m/s2

(2) –4 m/s2

(3) –8 m/s2

(4) 0

Solution: Answer (2)

We have: x = 5t – 2t2  and y = 10t

Therefore, dx/dt = 5 – 4t

And dy/dt = 10

Or we can say that:

Vx = 5 – 4t and  Vy = 10

Similarly, we can determine acceleration as:

Ax = – 4 and Ay = 0

Acceleration of particle at t = 2 s is –4 m/s2

i

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