Q1) There are two cars. Car A moves at a constant velocity Va m/s. Car B moves at a constant velocity Vb m/s. They both move along the same straight path called the x-axis. When a timer starts to click (t = 0), they are L meters (m) apart with Car A at x = 0 and Car B at x = L m. (a) Derive a formula for the time Tmeet at which Car A and Car B meet in terms of the given symbols Va, Vb and L. Hence, obtain a formula for the location Xmeet at which the cars meet.
Q1) There are two cars. Car A moves at a constant velocity Va m/s. Car B moves at a constant velocity Vb m/s. They both move along the same straight path called the x-axis. When a timer starts to click (t = 0), they are L meters (m) apart with Car A at x = 0 and Car B at x = L m.
(a) Derive a formula for the time Tmeet at which Car A and Car B meet in terms of the given symbols Va, Vb and L. Hence, obtain a formula for the location Xmeet at which the cars meet.
Given that Car A moves at a constant speed of 18 m/s (which is about 65 km per hour). Car B moves at a constant speed of 12.5 m/s (which is 45 km per hour). They both move along the same straight path called the x-axis. When a timer starts to click, they are 1000 m apart with Car A at x = 0 and Car B at x = 1000 m.
(b) Car A and Car B are both moving in the positive x direction. Apply your results in (a) to find the time and the position at which they meet.
(c) Here is a twist. Car A moves in the positive x direction and Car B moves in the negative x direction. They are bound to collide. Find the time and the position at which they collide.
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