Velocity of the bicycle =5000/500 meter/second
The answer is 50 meter per second.
Hope this helps <3
dx/dt = -rsinθ(dθ/dt)
second derivative of x with respect to time t:
d2x/dt2 = -rcosθ(dθ/dt)2−rsinθ(d2θ/dt2)
use calculus chain rule. θ can be differentiated with respect to time.
evaluate the second derivative at θ = 0
d2x/dt2 = -r(dθ/dt)2
dθ/dt is usually called the angular velocity, which is the rate of change of the angle θ. units used is radians/second.
w ≡ dθ/dt.
d2x/dt2 = -rw2
show your work