NEET Solved Paper 2017 Question 7
Question: The $ x $ and y coordinates of the particle at any time are $ x=5t-2t^{2} $ 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
Options:
A) $ -8,m/s^{2} $
B) 0
C) $ 5,m/s^{2} $
D) $ -4,m/s^{2} $
Show Answer
Answer:
Correct Answer: D
Solution:
$ x=5t-2t^{2} $
$ y=10t $ $ \frac{dx}{dt}=5-4t $ $ \frac{dy}{dt}=10 $ $ v _{x}=5-4t $ $ v _{y}=10 $ $ \frac{dv}{dt}x=-4 $ $ \frac{dv}{dt}y=10 $ $ a _{x}=-4 $ $ a _{y}=0 $
Acceleration of particle at t = 2 s is $ ~=4m/s^{2} $
