Question

The acceleration-time (a-t) graph of a particle moving along a straight line is as
acquires its initial velocity is
a(m/s)
10
t(s)
O 6s
O 8s
0 12 s
O 7s​

Answer 1

Answer:

8s

Explanation:

Given,

An Acceleration time graph,

So, the area under the velocity time graph shows the change in velocity,

Let the time t  

0

​  

 the particle accuire the initial velocity,

Therefore the change in velocity of the particle in the time t is:

So, Area under the velocity time graph is zero.

Thus Area of △AOB=areaof△BCD

2

1

​  

OA×OB=  

2

1

​  

OC×CD

OB  

2

tanθ=CD  

2

tanθ

(OB)2=(CD)  

2

 

4=t  

0

​  

−4

t  

0

​  

=−8