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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 = 2s is
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- 5 m/s2
- –4 m/s2
- –8 m/s2
- 0
Correct Option: B
Given :
x = 5t – 2t2
| vx = | = 5 - 4t | |
| dt |
| ax = | = - 4 | |
| dt |
a→ = axî + ayĵ
and 2y = 10t
| vy = | =10 | |
| dt |
| ay = | = 0 | |
| dt |
a→ = -4î m / s2
Hence, acceleration of particle at (t = 2 s) = –4m / s2
