07-09-2019, 01:20 PM
(07-09-2019, 12:59 PM)MrBossmanJr Wrote:But the correct answer to the question was √20 feet per second(07-09-2019, 11:59 AM)Giantzebra Wrote: Objects moving in two dimensions can be hard to track, unless you use calculus to handle the motion. If an object is moving so its X coordinate follows the equation X = 2t + 1 and its Y coordinate follows the equation Y = t2 + 2, where t is the time in seconds, what is the object’s two-dimensional speed at t = 2 seconds?
How do you solve this problem?
Don't you just differentiate both the equations? So x = t and y = 2t. Plug in t = 2 and you get (2,4).
It's asking for speed so you do differentiate. Speed (not a vector) is just the positive value of velocity (vector). The first equation should provide distance. Differentiating it once will provide velocity and another time will output acceleration.