The components of a vector can be written (Vx, Vy, Vz). What are the components and length of a vector which is the sum of the two vectors, and whose components are (8.0, −3.7, 0.0) and (3.9, −8.1, −4.4)?

Solution 6P Step 1: The cyclist is pedaling downhill. Thus he will gain kinetic energy, but will lose potential energy (with decreasing height). Increase in kinetic energy is balanced by decrease in potential energy. Mathematically, Increase in kinetic energy = Decrease in potential energy Step 2: Since answer options are given in metre, so we shall have to convert 15 km/h to m/s. Speed, v = 15 km/h = 15× 1000m ( since, 1 km = 1000 m and 1 h = 3600 s) 3600 s = 150m 36 s m = 4.166 s We know that acceleration due to gravity, g = 9.8 2 s