Consider the following equations. x = 1 − t2, y = t − 5, −2 ≤ t ≤ 2 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.

See graph attached.

The path of the curve, as t increases goes from the top of the curve going down, following a parabola symmetric in y=5.

Step-by-step explanation:

We have the following parametrics equations:

We can graph the variables x and y in a xy-plane following the values of t within the interval defined.

To do that we compute the values for x and y for every t in the interval and graph it.

The path of the curve, as t increases goes from the top of the curve going down, following a parabola symmetric in y=5.

step-by-step explanation:

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.