Skip to content

RECTILINEAR MOTION OF PARTICLES

RECTILINEAR MOTION OF PARTICLES

  1. A police officer in a patrol car parked in a 45 mi/h speed zone observes a passing automobile traveling at a slow, constant speed. Believing that the driver of the automobile might be intoxicated, the officer starts his car, accelerates uniformly to 60 mi/h in 8 s, and, maintaining a constant velocity of 60 mi/h, overtakes the motorist 42 s after the automobile passed him. Knowing that 18 s elapsed before the officer began pursuing the motorist, determine (a) the distance the officer traveled before overtaking the motorist, (b) the motorist’s speed
police officer in a patrol car parked in a 45 mph speed zone observes a passing automobile traveling at a slow, constant speed
  1. Automobiles A and B are traveling in adjacent highway lanes and at t = 0 have the positions and speeds shown. Knowing that automobile A has a constant acceleration of 1.8 ft/s2 and that B has a constant deceleration of 1.2 ft/s2, determine (a) when and where A will overtake B, (b) the speed of each automobile at that time.
utomobiles A and B are traveling in adjacent highway lanes and at t = 0 have the positions and speeds shown. Knowing that automobile A
utomobiles A and B are traveling in adjacent highway lanes and at t = 0 have the positions and speeds shown. Knowing that automobile

3. Two automobiles A and B are approaching each other in adjacent highway lanes. At t =0, A and B are 3200 ft apart, their speeds are 𝑣𝐴= 65 mi/h and 𝑣𝐡=Β  40 mi/h, and they are at points P and Q, respectively. Knowing that A passes point Q 40 s after B was there and that B passes point P 42 s after A was there, determine (a) the uniform accelerations of A and B, (b) when the vehicles pass each other, (c) the speed of B at that time.

Two automobiles A and B are approaching each other in adjacent highway lanes. At t =0, A and B are 3200 speeds are 𝑣𝐴= 65 mph

4. An elevator is moving upward at a constant speed of 4 m/s. A man standing 10 m above the top of the elevator throws a ball upward with a speed of 3 m/s. Determine (a) when the ball will hit the elevator, (b) where the ball will hit the elevator with respect to the location of the man.

An elevator is moving upward at a constant speed of 4 m per s. A man standing 10 m above the top of the elevator throws a ball upward with a speed of 3 m per s