...the rim of the front wheel? assume the wheel has radius 10in and the bike is moving at a rate of 20pi in/sec in the direction counterclockwise. As the bike moves from left to right in the picture below, the reflector will trace out a path in the imposed coordinate system: x(t)= 20pi t +10cos(-2pi t - pi/2) & y(t) = 10 + 10sin(-2pi t - pi/2) where t is in units of sec and the coordinate system has units of inches on the axes. a portion of the graph is pictured below for 0<_t<_2.
a)Compute horizontal & vertical velocities of motion of the reflector x'(t) and y'(t)
b)Compute x'(t) and y'(t) at t=0, 0.25, 0.5, 0.75, 1 sec.
c)When will horizontal velocity be a maximum(minimum)? what is the maximum(min) horizontal velocity? Where is reflector in picture when this happens?
d)When will vertical velocity be a max(min)? What is the max(min) vertical velocity? Where is the reflector in the pic when this happens?
e)The speed of moving reflector at time t is defined by equation s(t) = sq root of [x'(t)]^2 + [y'(t)]^2. compute s(t). During the first 2 sec, how many times will the speed be equal to 50in/sec?
a)Compute horizontal & vertical velocities of motion of the reflector x'(t) and y'(t)
b)Compute x'(t) and y'(t) at t=0, 0.25, 0.5, 0.75, 1 sec.
c)When will horizontal velocity be a maximum(minimum)? what is the maximum(min) horizontal velocity? Where is reflector in picture when this happens?
d)When will vertical velocity be a max(min)? What is the max(min) vertical velocity? Where is the reflector in the pic when this happens?
e)The speed of moving reflector at time t is defined by equation s(t) = sq root of [x'(t)]^2 + [y'(t)]^2. compute s(t). During the first 2 sec, how many times will the speed be equal to 50in/sec?