Calculate the average velocity for a remote controlled vehicle that starts with a speed of 1.0 m/s [forward] and then accelerates at
0.08 m/s2 [backward] for 4.0 s.
vf=vi+at remember a is negative.
average velocity=(vi+vf)/2
do i solve for vf in the vf=vi+at equation , then put thr average velocity ?
yes, of course.
To calculate the average velocity, we need to find the total displacement and divide it by the total time taken.
Step 1: Find the initial velocity (u) and the acceleration (a):
Given:
Initial velocity (u) = 1.0 m/s
Acceleration (a) = -0.08 m/s² (negative because it is in the opposite direction)
Step 2: Find the final velocity (v) using the kinematic equation:
v = u + at
Substituting the values:
v = 1.0 m/s + (-0.08 m/s²) * 4.0 s
v = 1.0 m/s - 0.32 m/s
v = 0.68 m/s
Step 3: Find the average velocity (avg_v):
avg_v = (u + v) / 2
Substituting the values:
avg_v = (1.0 m/s + 0.68 m/s) / 2
avg_v = 1.68 m/s / 2
avg_v = 0.84 m/s
Therefore, the average velocity of the remote controlled vehicle is 0.84 m/s in the backward direction.