Unformatted text preview: time t of their contact. Show that for smaller values of a these star crossed lovers will cross twice. Draw a sketch for this case. Explain in words why they cross twice. 3. A particle moves as per the equation x = 30 + 40 t + 60 t 2 + 40 t 3 . Find its velocity and acceleration for all times. When does its velocity equal 1 m/s? At that instant what is its acceleration? 4. [Diﬃcult] Ball A is dropped from rest from a building of height H exactly when ball B is thrown up vertically. When they collide A has double the speed of B . If the collision occurs at height h what is h/H ? Hint: Write equations for heights y A , y B and velocities v A and v B . What can you say about these at the time of the collision?...
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 Fall '08
 RAMAMURTISHANKAR
 Physics, Acceleration, Velocity, R. Shankar

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