"Researchers, I command you to develop improved bows."
"Oh dear leader, we have researched away and developed what you asked for: improved wheels!"
Maybe there should be two-dimensions: Speed and Accuracy.
You could tell your researchers you want them to come up with a bow with longer range and in six months they will do it.
Or you could tell your researchers you want them to come up with a better bow and in four months they will do it, but you don't know if it will be more accurate, better range, easier to reload, faster to produce, etc.
Or you could tell your researchers you want them to come up with someway to improve your military and in three months they will do it, but you don't know if it will come up with better armor, better bows, etc.
Or you could tell your researchers you want them to come up with... something and in two months they will do it, but you have no clue what they will give you. Could be military, could be agriculture, could be contruction, etc.
Some might think it is better to allow your researchers freedom to come up with as many new ideas as possible, while others will want to focus on the core techs to make them better ASAP.
It might be fun to let the researchs go wild for a while and then use those techs as a guide for your empire.
"Three of my first five techs were from Agriculture. My people are natural farmers."