Download AP Physics C: Mechanics Chapter 2 practice What is considered

AP Physics C: Mechanics Chapter 2 practice
1. What is considered when calculating an objects distance?
a. The total path length
c. The average speed
b. The difference between the starting and ending point d. Biquaternion
2. What does the area under a velocity time curve represent?
3. A particle moving along the x-axis has a velocity given by:
v = 5t – 4.5 t2
for t in seconds. and v in m/sec.
a) Find its average velocity from t = 1.0 to t = 2.0 seconds.
b) Find its acceleration at 1.8 seconds.
c) Find the location of the object at t = 0 sec
4. A student A has a car that can accelerate at 8 m/sec2. Student B has a car that can accelerate at 5
m/sec2. The two students decide to race. Both start from rest, but Student B leaves 1 second
before Student A.
a) Find the time it takes Student A to overtake the Student B.
b) Find the distance the two drivers travel before they are side by side.
c) Find the velocities of both cars at the instant they are side by side.
5. A sandbag is dropped from a hot air balloon. At the instant the sandbag is dropped, the balloon
is 400 meters above the ground, accelerating upward at 2 m/sec2 and rising at 24 m/sec. Find
the following information assuming this takes place on planet Earth.
a) The time before the sandbag hits the ground.
b) The maximum height reached above the ground by the sandbag.
c) The position of the sandbag 6 seconds after being released.
6. The position of a particle moving along the x-axis depends on time according to the following
equation:
x = 30 + 2t2 - 4t3
a) Where is the particle after 2 seconds?
b) What is the particle's velocity after 4 seconds?
c) What is the particle's acceleration after 2 seconds?
d) For what time(s) was the speed zero?
e) What is the particles average velocity from t = 1 sec to t = 3 sec?
7. A Gazelle starts to run from rest next to a bush with a constant acceleration of 0.40 m/sec2. A
lion awakens 6.0 seconds after the “rear-end” of the gazelle left the very same point. What is the
least constant speed, at which the lion can run and catch the gazelle (assume immediate
constant velocity for the lion)? (10 pts)
8. A linear particle accelerator is designed to smash atoms into one another at very high rates of
speed. Particle B is initially located 4000 m to the right of particle A, as shown. Particle A is
initially moving at 900 m/s [R] and uniformly accelerating at 300 m/s2 [R]. Particle B is initially
moving at 1500 m/s [L] and uniformly accelerating at 200 m/s2 [L]. Find the: (5 pts each)
a) location of the collision relative to the initial position of particle A
b) time at which the collision occurs
c) speed of particle B immediately before the collision
A
900 m/s
1500 m/s
B
4000 m
9. The acceleration of an object varies with time according to the equation a  4t  30 , where t is
in units of seconds and a in units of m/sec2. Find the:
a) velocity as a function of time if v =25 m/s at t = 0
b) change in position between t = 1 and t = 3 seconds