Question

Two forces are applied to a car in an effort to move it, as shown in the following figure, where F1 = 443 N and F2 = 372 N. (Assume up and to the right as positive directions.)

(a) What is the resultant of these two forces?
magnitude N
direction ° to the right of the forward direction

(b) If the car has a mass of 3,000 kg, what acceleration does it have? Ignore friction.
m/s2

Answer 1

if you understand interpolation, and you seem to, just think of it this way.

If the value you want is, say, 2/3 of the way from one known value to the next, the readings will also be 2/3 of the way from one value to the next.

so, if you want to place values at 1-unit intervals, you need to step through the given timestamps and whenever you find two timestamps greater than one unit apart, interpolate.

3 and 4.5 are greater than 1 unit apart, so, since 4 is 2/3 of the way between 3 and 4.5, you will generate values 2/3 of the way between those at 3, and those at 4.5.

Since 7 is more than 1 unit away from 4.5, you need to generate data points for times of 5 and 6.

5 is 1/5 of the way from 4 to 7.5
6 is 3/5 of the way.

so, given x-values and y-values,

if x_n+1 - x_n > 1,
for each number x_k between x_n and x_n+1,
y_k = y_n + (x_k-x_n)/(x_n+1-x_n) * (y_n+1-y_n)