a car starts from rest and moves along the x axis with constant acceleration 5m/s Square for 8 seconds. if it then continues with with constant velocity what distance will it cover in 12s since it started from rest??
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a=5m/s^2
u=0m/s
NOW
t=12 sec
s=ut+1/2at^2
s=0×8+1/2×5×8×8
=0+320
=320m
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Answered by
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ANSWER:-
320 m
Explanation :-
initial velocity(U) = 0
Final velocity(V) = ?
Acceleration(a) = 5m/s²
time = 8 sec
{ first find the velocity qt the end of 8 sec then after this it will become constant}
•°• V = u + at
V= 0 + 5 × 8
V= 40m/s{ constant velocity}
Velocity at the end of 8Th second is 40m/s
The distance travelled in 8 sec
is by using the formula :-
V² = U²-2aS
(40)² = 0²- 2 × 5 × s
S = 1600/10
S = 160m
The distance travelled during the time 8 sec is 160 m
Now,
During the last 4 sec the velocity 40m/s is constant
Initial velocity (U)= 40/s
Final velocity(V) = 40 m/s{ °•°at the end of 12 sec the final velocity is 40 m/s}
By using the formula
S = v+u/2 × t [ v+u/2 = average velocity]
S = 40 + 40/2 × 4
S = 160 m
Now,
Total distance travelled is =
{160+160}m
=> 320 m
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