Avehicle moves with a velocity, v(t) = exp(0.2t) - 1, 0 ≤ t ≤ 5 s. peter would like to calculate the displacement of the vehicle as a function of time, x(t), by integrating given velocity over the time from t = 0. use t = 0.2 s for trapezoidal rule.

Explanation:

Given expression of velocity:

For getting displacement we need to integrate the above function with respect to t.

Given period of integration:

For trapezoidal rule we break the given interval into two parts of 0.1 s each.

∴take n=2

hence,

Now, using trapezoidal rule:

Note:Smaller the value of sub-interval better is the accuracy.

real, smaller and upside-down.   so the answer should be b.