Thread: functions

A 0.5 kg ball is thrown vertically upward at a speed of 25 m/s. Its velocity v(t) (in m/s), at time, t (in seconds), is given by v(t)=25-9.8t. Its kinetic energy, K(v) (in Joules), is given by K(v)=0.5v2 [<- 2 as in squared, I don't know how to do sup text..] Express the ball's kinetic energy as a function of time, K(t)

Big thanks to anyone who is willing to help with this! =)

Originally Posted by xxlvh

A 0.5 kg ball is thrown vertically upward at a speed of 25 m/s. Its velocity v(t) (in m/s), at time, t (in seconds), is given by v(t)=25-9.8t. Its kinetic energy, K(v) (in Joules), is given by K(v)=0.5v2 [<- 2 as in squared, I don't know how to do sup text..] Express the ball's kinetic energy as a function of time, K(t)

Big thanks to anyone who is willing to help with this! =)

they simply want the composite function here. as in, they want you to find and simplify K(v(t)). can you do that?

What I got was...
K(t) = 48.02t2 - 25.2t + 312.5 ?

Originally Posted by xxlvh

What I got was...
K(t) = 48.02t2 - 25.2t + 312.5 ?

that's incorrect. check your middle term again