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Question

Question: A particle is moving in the xy plane according to the equation (in SI units) x = 4t<sup>2</sup> + 5...

A particle is moving in the xy plane according to the equation (in SI units)

x = 4t2 + 5t + 16

y = 5t

Then the acceleration of the particle is –

A

8 m/s2

B

13 m/s2

C

14 m/s2

D

32 m/s2

Answer

8 m/s2

Explanation

Solution

ax = dvxdt\frac { \mathrm { dv } _ { \mathrm { x } } } { \mathrm { dt } } and vx = dxdt\frac { \mathrm { dx } } { \mathrm { dt } }

ay = dvydt\frac { d v _ { y } } { d t } and vy = dydt\frac { \mathrm { dy } } { \mathrm { dt } }