Description
1: 2-3 (lmedium) – hint – Eliminate t between y(t) and x(t) then equate y and x at the point the
tan() line is crossed by the parabola traced out by the particle.
2: 2-4 (short) hint – how many balls are in the air at any one time?
3: 2-8 (medium) hint – think quadratic in time for y = h. Also ⇡/4is the angle that maximizes
the range. Do not due this the way the solution manual does, that is counter intuitive.
4: 2-9 (longer) The book wants you to do this for just vertical motion.Assume kv0/g is small
and taylor expand your result.
5: 2-15 (long) use tables for the integral, switch to a one dimensional inclined plane problem.
Use the fact that if you make x positive in the direction of motion then the acceleration is also
positive. Use appendix E to look up the integrals. E.4c to be precise. Use v(0)=0 to determine the
integration constant. You can look up the integral for the hyperbolic tangent).
6: 2-29 (medium or short, think it through) Hint – an 8 percent grade is not an angle of 8 degrees,
the angle is the tangent of .08 or 4.6 degrees. This problem is also a classic case of – ”It is waaaay
longer to cheat and use solutions than to think”.
7: 2-30 (short)
