An object is moving in a horizontal direction only. The graph shows its velocity vs. time.
2 answers:
14) Distance= area under curve
=1/2*9*6= 27
15)dp/dt=F
m(v-u)/0.41=F
m(2u+u)/0.41= m*a
3u/0.41= 1/a
3/0.41= a/u= -7.31
16)v^2-u^2=-2gh
H(max)= 900/2*1.62= 278m
Problem 1
Givens
vi = 9 m/s
vf = 4m/s
The time is from 4 to 10 which is 10 - 4 = 6 seconds. Time is never minus.
d = ?
Formula
d = (vf + vi)*t/2
Solve
d = (9 + 4)*6/2
d = 39 m
A <<<<< answer
Problem 2
This one is a seat of your pants kind of problem. Physics teachers are among the best at hiding answers.
Givens
a = ?
vi = x
vf = - 2x
t = 0.41
Formula
a = (vf - vi)/t
Solve
a = (-2x -x) / 0.41
a = -3/0.41 x
a/x = -3/0.41
a/x = - 7.32 The answer is A
Problem 3
Givens
vi = 30 m/s
a =- 1.6 m/s^2
vf = 0
d = ??
vf^2 = vi^2 + 2*a*d
0 = (30 m/s)^2 + 2 * ( -1.62) *d
- 900= - 3.24d
d = 900/3.24
d = 278.8
C answer
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