– THE FOLLOWING FUNCTION GIVES

THE HEIGHT OF A PROJECTILE IN METERS AFTER T SECONDS. WE WANT TO DETERMINE THE HEIGHT,

VELOCITY, AND ACCELERATION AFTER THREE SECONDS. BEFORE WE DO THIS, LETS TAKE A LOOK AT THE GRAPH

OF THIS FUNCTION. WE’VE ALREADY TYPED IN

THE FUNCTION INTO Y1 AND I’VE ALREADY ADJUSTED

THE WINDOW AS WELL. SO WE CAN SEE IT’S GOING TO BE

A PARABOLA THAT OPENS DOWNWARD AS WE SEE HERE. SO IF WE PRESS THE TRACE KEY, THE X COORDINATE REPRESENTS

THE TIME IN SECONDS AND THE Y COORDINATE REPRESENTS

THE HEIGHT IN METERS. SO WE CAN SEE AS THE TIME PASSES

THE PROJECTILE MOVES UPWARD, THEN AT A CERTAIN POINT

IT REACHES THE PEAK HEIGHT AND THEN IT DROPS DOWNWARD

BACK TO THE GROUND. LET’S GO BACK AND TAKE A LOOK

AT OUR THREE QUESTIONS. WELL, THIS FUNCTION

IS THE HEIGHT FUNCTION, OFTEN KNOWN

AS THE POSITION FUNCTION. SO TO DETERMINE THE HEIGHT

AT THREE SECONDS WE JUST NEED TO FIND S OF THREE. SO WE HAVE -4.9 x 3 SQUARED

+ 15 x 3=0.9 AND THIS WOULD BE METERS. SO AFTER THREE SECONDS THE OBJECT IS