Science:Math Exam Resources/Courses/MATH101 A/April 2025/Question 07 (a)/Statement

A small rocket propels itself straight upwards. From $t=0$ to $t=4$ minutes, its velocity is given by: $$v(t)=\frac{100}{1+t^3}\text{meters/min}.$$ Estimate the height the rocket gains from $t=0$ to $t=4$ using the trapezoid rule with 4 trapezoids. (You may leave your sum in calculator-ready form.)