Question

X=30+20t^2 find instantaneous velocity and the acceleration where t=2sec what are the initial position and velocity of object

Answer 1

Answer:

instantaneous velocity=80m/s

40m/s^2 is the acceleration

30m is initial position

30m/s is velocity of object

Answer 2

EXPLANATION

x = 30+ 20t^2

here , t = 2sec

1.) instantaneous velocity = dx/dt

= dx/dt = d(30+20t^2)/dt

= 40t ,(t=2 )

= 40x2

= 80 m

2. Instantaneous

acceleration

= dv/dt

= d(40t)/dt

= 40 m/s^2

3. initial position = 30 m