calculate the displacement of a motorcycle if its initial velocity is 35.0km/h [W] and it accelerates at a rate of 4.50m/s^2[W] for 15.2s
First, we need to convert the initial velocity from km/h to m/s:
35.0 km/h * (1000 m / 1 km) * (1 h / 3600 s) = 9.72 m/s
Next, we can use the equation for displacement:
d = v_0t + 0.5at^2
where:
d = displacement
v_0 = initial velocity = 9.72 m/s
t = time = 15.2 s
a = acceleration = 4.50 m/s^2
Now we can calculate the displacement:
d = (9.72 m/s)(15.2 s) + 0.5(4.50 m/s^2)(15.2 s)^2
d = 147.58 m + 1091.04 m
d = 1238.62 m
Therefore, the displacement of the motorcycle is 1238.62 meters [W].