It is often the case that the frictional force on an object will increase as the object moves faster. A fortunate example of this is the parachutist; the role of the parachute is to produce a frictional force due to air drag, which is larger than would normally be the case without the parachute. Consider a very simple example in which the frictional force depends on the velocity. Assume the object velocity obeys an equation of the form $$\frac{dv}{dt}= a - bv $$ where a and b are constants. Think of as coming from a force applied such a gravity and b from friction or drag $(b > 0)$. Solve this equation exactly and using the euler method and compare both solutions. A possible choice: $a=10$, $b=1$

Write a program in plp assembly that counts up by one starting from zero (or one) inside a loop and writes this value to the leds every time the value is increased. the memory address of the leds is 0xf0200000. the table below shows the meaning and an example usage of the instructions covered in the video, plp instructions for project 1. instruction example usage meaning load immediate li $t0, 8 register $t0 is set to the value, 8. store word sw $t2, 0($t1) the value in register $t1 is used as the memory address. the value in register $t2 is copied into this memory address. add addiu $t4, $t3, 29 register $t4 is assigned the sum of 29 and the value in register $t3. jump j your_label_name the program jumps to the line following the label, "your_label_name: ". label your label name: defines a label called "your_label_name: " that can be jumped to