You are racing some fast toy cars. Inone of the races toy car 1, in lane 1,starts from rest and accelerates in a straight line at 2.0m/s2.At that instant, toy car 2, in lane 2,is 6.0 m behind toy car 1 and is moving in a straight line at a constant speed of 5.0m/s. a. At what distance, if any, relative to the starting point of toy car 1, will the two toy cars catch up with each other?
b. Sketch x-t, v-t, and a-t graphs of the motion of both toy cars.
c. What is the minimum speed that toy car 2 must have to catch up with toy car 1?

Asmall object with mass 0.200 kg swings back and forth on the lower end of a light rope that is 3.00 m long. the upper end of the rope is attached to the ceiling. as the object swings through its lowest position, where the rope is vertical, the speed of the object is 5.80 m/s. at this point in the motion, what is the tension in the rope? (use g = 9.80 m/s2.)

Select light for the type of wave, adjust the wavelength so that the light is red, and increase the amplitude of the light to the max. then, select the start button at the source location to begin producing the waves. light is a form of electromagnetic wave, containing oscillating electric and magnetic fields. the wave amplitude detector mentioned above shows how the electric field oscillates in time at the location of the probe. the amplitude of the wave at the location of the probe is equal to the maximum electric field measured. how does the amplitude of the wave depend on the distance from the source?

Along wire of diameter 1 mm is submerged in an oil bath of temperature ∞ 31°c. the wire has an electrical resistance per unit length of 0.01 ω/m. if a current of 103 a flows through the wire and the convection coefficient is 500 w/m2·k, what is the steady-state temperature of the wire? from the time the current is applied, how long does it take for the wire to reach a temperature that is within 1°c of the steady-state value? the properties of the wire are 8000 kg/m3, 500 j/kg·k, and 20 w/m·k.