A car is initially at rest on a straight road. The histogram
below shows the car's acceleration along that road as a function of
time.
Calculate the speed of the car at t = 4 s.
Calculate the distance traveled during the first 5 s.
Calculate the distance traveled from t=10 s to t=13 s.
Calculate the car's average speed from t = 6 s to t=9 s.
1. Calculate the speed of the car at t = 4 s.
Solution: We know that : v = u + a×t
where
V = final velocity
u = initial velocity
a = acceleration
t = time
from t=0 to 1 s a=0, hence v=u + 0*t
as given that u=0 hence v=0
now from t=1 to 2 s, a= 2 m/s2
v = 0 + 2*(2-1) =2 m/s at t=2 sec.
now from t=2 to 3 s, a= 3 m/s2
v = 2 + 3*(3-2) = 5 m/s at t=3 sec.
now from t=3 to 4 s, a= 1 m/s2
v = 5 + 1*(4-3) = 6 m/s at t=4 sec.
hence at t= 4 sec. the speed will be 6 m/sec Ans.
2. Calculate the distance traveled during the first 5 s
Solution: We know that : s = u*t +
0.5*a*t2
where
V = final velocity
u = initial velocity
a = acceleration
t = time
s = distance
We have to calculate distance on a second - by - second
basis:
t = 0 s -> 1 s
No distance. The car remains at 0 m/s/s.
t = 1 s -> 2 s
s = ut + 0.5at^2
s = 0.5 (2 m/s/s) (1 s)^2
s = 1 m
v = u + at
v = (2 m/s/s)(1 s)
v = 2 m/s
t = 2 s -> 3 s
s = ut + 0.5at^2
s = (2 m/s)(1 s) + 0.5(3 m/s/s)(1 s)
s = 3.5 m
v = u + at
v = 2 m/s + (3 m/s/s)(1 s)
v = 5 m/s
t = 3 s -> 4 s
s = vt + 0.5at^2
s = (5 m/s)(1 s) + 0.5(1 m/s/s)(1 s)^2
s = 5.5 m
v = u + at
v = 5 m/s + (1 m/s/s)(1 s)
v = 6 m/s
t = 4 s -> 5 s
s = vt + 0.5at^2
s = (6 m/s)(1 s) + 0.5(0 m/s/s)(1 s)^2
s = 6 m
Now add up all the distances:
1 m + 3.5 m + 5.5 m + 6 m = 16 m Ans.
3. Calculate the distance traveled from t=10 s to t=13 s.
from t=5 s to 6 sec
v = u + at
v = 6 +(-1)(1) = 5 m/s
from t=6 s to 8 sec
v = u + at
v = 5 +(1)(2) = 7 m/s
from t=8 s to 10 sec
v = u + at
v = 7 +(-1)(2) = 5 m/s
from t=10 s to 13 sec
v = 5 + 0 =5 m/s
distance s = 5 + 0.5 (0) = 5 m Ans.
4. Calculate the car's average speed from t = 6 s to t=9 s.
speed at t = 6 sec. v= 5 m/s
and speed at t = 9 s v = 5 m/s
hence average speed is 5 m/s
A car is initially at rest on a straight road. The histogram below shows the car's...
A car is initially at rest on a straight road. The histogram below shows the car's acceleration along that road as a function of time. Calculate the speed of the car at t = 4 s. -12m/s Calculate the distance traveled during the first 6 s. Calculate the distance traveled from t = 10 s to t = 14 s. Calculate the car's average speed from t = 5 s to t = 9 s.
A car is initially at rest on a straight road. The histogram
below shows the car's speed along that road (the x-axis) as a
function of time.
Calculate the distance traveled by the car during the first 5
s.
Calculate the distance traveled by the car from t=10 to t=14 s.
Calculate the average speed of the car from t = 6 s to t=9 s.
A x-Velocity (1/5) nNHO @ 1 2 3 4 5 9 10 11 12...
A car is initially at rest on a straight road. The histogram below shows the car's acceleration along that road as a function of time 12345ธ7831011121314 Tine (s) Calculate the speed of the car at t 4 s. Submit Answer Tries 0/20 Calculate the distance traveled during the first 5 s. Submit Anawer Tries 0/20 Calculate the distance traveled from t-10 s to t-14 s. Subemit Arswer Tries 0/20 Calculate the car's average speed from t -5s to t-9 s...
A car is initially at rest on a straight road. The histogram below shows the car's speed along that road (the x-axis) as a function of time. 18 12345679 18 11 12 13 14 Tise (s) Calculate the distance traveled by the car during the first 5 s utAer Tries 0/20 Calculate the distance traveled by the car from t-10 to t-14 s Suanit Answr Tries 0/20 Submit Answer Calculate the average speed of the car from t - 6...
A car is initially at rest on a straight road. The histogram below shows the car's acceleration along that road as a function of time -2 1234567891B 11 12 13 14 Tine (s) Calculate the speed of the car att 9.00 m/s 4s You are correct Your receipt no. is 158-113 Previous Tries Calculate the distance traveled during the first 5 s 13.5 m Submit Answer Incorrect. Tries 2/20 Previous Tries Calculate the distance traveled from t=11 s to t=14...
A car is initially at rest on a straight road. The histogram below shows the car's acceleration along that road as a function of time. 1 -3 .1234567ธ9101112 14 Tine (s) Calculate the speed of the car at t3s. Your receipt no. is 158-5693Previous Tries 6.00 You are correct. Calculate the distance traveled during the first 5 s. 24.0 m ubAnwer Incorrect. Tries 19/20 Previous Tries Calculate the distance traveled from t-10 s to t=14 s 36 m The car...
A car is initially at rest on a straight road. The histogram
below shows the car's speed along that road (the x-axis) as a
function of time.
a)Calculate the distance traveled by the car during the first 5
s.
b)Calculate the distance traveled by the car from t=10 to t=14
s.
c)Calculate the average speed of the car from t = 6 s to t=9
s.
6 1 2 34 56 78 9 18 11 12 13 14 Tine (s...
car is initially at rest on a straight road. The histogram below shows the car's acceleration along that road as a function of time -1 -2 -3 8 12 3 45 678 9 18 11 12 13 14 Tine (s) Calculate the speed of the car at t4 s 8.00 m/s You are correct. Your receipt no. is 154-6672 Previous Tries Calculate the distance traveled during the first 6 s. 22m Submit Answer Incorrect. Tries 10/20 Previous Tries Calculate the...
A car is initially at rest on a straight road. The graph shows
the acceleration of the car along that road as a function of
time.
What is the speed of the car at t=6 s?
What distance does the car cover in the first 8 seconds?
What is the speed of the car at t=13 s?
Determine the distance covered by the car between t=11 s and t=14
s?
4. 2 -1 -3 0 1 2 34 5 6...
A car is initially at rest on a straight road. The graph shows
the acceleration of the car along that road as a function of
time.
What is the speed of the car at t=7 s?
4.0 m/s
You are correct.
b) What distance does the car cover in the first 8 seconds?
c) What is the speed of the car at t=14 s?
d) Determine the distance covered by the car between t=11 s and
t=13 s?
4. 2...