1-2. A car travels along a straight road with the speed shown in the  graph. Assume  is greater than zero and follows a normal distribution, plot the  graph and calculate the probability that the speed  reaches 5 m/s.

 

Solution

 graph: for  

For

 

The graph of the acceleration is shown below.

 

Since  and , when , the speed reaches its maximum, therefore,

And

So

         

 

                                                       Ans.