Solve the problem. -The grade resistance F of a car traveling up or down a hill is modeled by the equation F = W sin ϴ, where W is the weight of the car and ϴ is the angle of the hill's grade (ϴ 0 for uphill travel, ϴ

Question

Solve the problem.
-The grade resistance F of a car traveling up or down a hill is modeled by the equation F = W sin ϴ, where W is the weight of the car and ϴ is the angle of the hill's grade (ϴ > 0 for uphill travel, ϴ < 0
For downhill travel). What is the grade resistance (to the nearest pound)of a 2100-lb car traveling
Downhill on a 5° grade (ϴ = -5°)?
A)183 lb
B)-2105 lb
C)2105 lb
D)-183 lb

Quizplus · Accepted Answer

The grade resistance F is calculated using the formula F = W sin ϴ. For a 2100-lb car traveling downhill on a 5° grade, ϴ = -5°. Thus, F = 2100 sin(-5°). The sine of -5 degrees is negative, indicating the force is directed downhill, which matches the negative sign in the answer. Calculating this gives a value close to -183 lb, hence option D is correct.

Solve the Problem. -The Grade Resistance F of a Car Traveling Up or Traveling