Answer to Question #168910 in Calculus for james

Question

a)   Draw a graph of the displacement y(m) against time t(s) for the time  t=0s to t=2s

Answer 1

Solution:

Here, we assume that $y=\sin 3t$

From $t=0$ to $t=2$

At $t=0,$ $y=\sin3(0)=\sin0=0$

At $t=\dfrac12,$ $y=\sin3(\dfrac12)=\sin1.5=0.9974$

At $t=1,$ $y=\sin3(1)=\sin3=0.14112$

At $t=2,$ $y=\sin3(2)=\sin6=-0.27941$

Plotting these points and using general graph of $\sin t$ , we get: