Kinematics Equation FRQ Review
Name________________________________
PSI Physics
Show all your work, you will receive points for showing all of the following:
1.
2.
3.
4.
5.
6.
7.
Identifying the values of the variables, including the unknown.
Writing the equation that relates the known to unknown variables.
Canceling any variables in the equation that are zero.
Solving the equation for the unknown variable.
Substituting values for each of the variables.
Solving for the unknown variable.
Including units in your answer.
x = xo + vo t + ½ a t 2
g = 9.8 m/s2 (downward)
1.
An object travels at a constant velocity of 60 m/s for 2.0 s. How far does it move?
2.
An object initially at rest experiences an acceleration of 8.0 m/s 2 for 3.0 s. How far
does it travel from its initial position during that time?
3.
An object, which is initially at rest, accelerates for 22 s. Its final position is 30 m
from its initial position at the end of that acceleration. What acceleration did it
experience?
4.
An object is shot upwards, from the ground, with an initial velocity of 200 m/s. How
high will it be after 4.0 s?
5.
An object, which is initially at rest, accelerates at a rate of 6.0 m/s2. Its final position
is 44 m from its initial position at the end of that acceleration. For how much time
did it accelerate?
6.
Prove the 3 Kinematic equations
Kinematics Equation 2 Quiz V2
PSI Physics
ANSWER KEY
20 points
4 points for each problem, distributed as follows:
1 point identifying all variables correctly
1 point for writing the equation AND correct algebraic manipulation
1 point for substituting variables correctly
1 point for correct answer with units
Problem 1
xo = 0
vo = 60 m/s
a=0
t=2s
x=?
Problem 4
xo = 0
vo = 200 m/s
a = -9.8 m/s2
t=4s
x=?
x = xo + vo t + ½ a t 2
x = vo t
x = 60 m/s (2 s)
x = 120 m
x = xo + vo t + ½ a t 2
x = vo t + ½ a t 2
x = 200 m/s (4 s) + ½ ( - 9.8 m/s2) (4 s)2
x = 800 m – 78.4 m
x = 721.6 m
Problem 2
xo = 0
vo = 0
a = 8 m/s2
t=3s
x=?
x = xo + vo t + ½ a t 2
x=½at2
x = ½ (8 m/s2) (3 s)2
x = 36 m
Problem 3
xo = 0
x = 30 m
vo = 0
t = 22 s
a=?
x = xo + vo t + ½ a t 2
a=2x/t2
Problem 5
xo = 0
vo = 0
a = 6 m/s2
x = 44
t=?
x = xo + vo t + ½ a t 2
t = √ (2 x / a)
t = √ [2 (44 m) / 6 m/s2]
t = √ (14.67 s2)
t = 3.8 s
a = 2 (30) / 222
a = 0.124 m/s2