4. Two toy remote-controlled cars start from the same position, O, at time t-0. One car, C ,travels north at 4 m/s, while the other, C2, travels west at 2 m/s. (a) After two seconds, compute the r...
4. Two toy remote-controlled cars start from the same position, O, at time t-0. One car, C ,travels north at 4 m/s, while the other, C2, travels west at 2 m/s. (a) After two seconds, compute the rate of change of the distance between Ci and Cz. Draw a diagram to help you answer this question and the next and clearly state the units. Simplify your answer as much as possible. (7 pts.) (b) After two seconds find the rate of change of the angle, θ, in units rad/s (using the results of (a) and a formula for de/dt) between the straight line from C2 to O and the straight line from C2 to Ci. (3 pts.)
4. Two toy remote-controlled cars start from the same position, O, at time t-0. One car, C ,travels north at 4 m/s, while the other, C2, travels west at 2 m/s. (a) After two seconds, compute the rate of change of the distance between Ci and Cz. Draw a diagram to help you answer this question and the next and clearly state the units. Simplify your answer as much as possible. (7 pts.) (b) After two seconds find the rate of change of the angle, θ, in units rad/s (using the results of (a) and a formula for de/dt) between the straight line from C2 to O and the straight line from C2 to Ci. (3 pts.)