Conceptual Dynamics - Independent Learning

Rectilinear Motion - Review Problems

 

RP2-1) Consider a particle moving in 1-D space. When the particle changes direction, what is its velocity?

 

vturn = m/s   

 

 

 

RP2-2) The positions of two rolling balls are captured at 0.1 second intervals in the figure below. The balls are moving towards the right. Do the balls have the same speed at any point during their motion?

 

 






 

 

 

RP2-3) Is it possible for a body to have a positive velocity and a negative acceleration at the same instant of time?

 



 

 

 

RP2-4) The slope of a line tangent to the position curve s(t) for a particle's motion at a given instant of time gives which of the following.

 





 

 

 

RP2-5) The slope of a line tangent to the velocity curve v(t) for a particle's motion at a given instant of time gives which of the following.

 





 

 

 

RP2-6) The area under a velocity-time curve is equal to the ...

 




 

 

 

RP2-7) The area under an acceleration-time curve is equal to the ...

 




 

 

 

RP2-8) If a body has a positive velocity and a negative acceleration at a particular instant of time, what would the v-t curve look like at that instant?

 

 

 

RP2-9) A particle moves along a straight line with a velocity of v = 3t 2 - 5t m/s, where t is the time in seconds. If it is initially located at the origin O, determine the particle's acceleration at t = 2 s and its total distance traveled between t = 0 and 2 s.

 

a(t=2) = m/s2     

 

tturn = s     

 

stotal = m     

 

RP2-10) A boat going down river is initially traveling at 25 knots (1 knot = 1.151 mph). Determine the distance traveled past starting point A in 5 minutes if the boat travels at 25 knots relative to the shore for 1 minute before cutting its engines. The river current flows at 2 knots causing the boat's velocity relative to the shore to follow the function v = 42.2 - 6*ln(t - 59) ft/s after the engines are cut, where t is in seconds.

 

 

sB = ft     

 

sC = ft