Question

The relation between position and time for a moving object is x = -2/3 t2 + 16 t + 2 where x is in meter and t is in seconds. Find :
1) The initial velocity of the object.

2) How long does the body take to come to rest.

3) What is the acceleration of the body when it comes to rest.​

Answer 1

Answer:

initial velocity= 16m/s

t=12sec

a= -4/3

Explanation:

X= -2/3t^2 +16t + 2

dx/dt= -4/3t +16 =v

at t=0

v=16 (initial velocity)

now, at rest v=0

0= -4/3t + 16

4/3t=16

t=12 sec

again, v= u+at

0=16+a(12)

a= -4/3 m/s^2

I hope this will help you☺️