I need help with 2 questions on my high school physics homework. Hopefully all you T-geniuses out there can help.
First Problem: Mike is 12 meters from the bus and is running towards the bus at a constant 4.0 m/s. If the bus accelerates away from the bus stop at 0.8 m/s^2, can Mike catch the bus? If so, where?
Second Problem: Emily is on top of a 28 meter tall building. She drops a ball from rest at the instant that Joe throws a ball up from the ground at 18 m/s. Do the balls cross paths? If so, where do they cross?
When answering, please show all work.(equation, substitution, etc.)
Basically these are the only formulas we're allowed to use:
D=Vit + 1/2at^2
Where Vf is final velocity. Vi is initial velocity. a is acceleration. t is time. D is distance. V is velocity.
Thanks in advance