a car accelerates uniformly from rest to a speed of 65 km/h (18 m/s) in 12s. Find the distance the car travels during this time?
Physics · High School · Tue Nov 03 2020
Answered on
Given:
velocity of the car = 65 km/h (18 m/s)
Speed was used in the given although, in the statement, it says accelerate since the unit value is in distance over time. Acceleration is in distance over time squared.
Time = 12s
Determine the distance traveled.
Formula:
a = delta v / delta t
v= at + v_0
s=½at^2 + v0*t + s0
d= ½ at^2
where
a = acceleration
v0 = initial velocityhe
d= distance
v = velocity
t = time
Solution:
Solve first tforhe acceleration of the car.
a = delta v/ delta t
a = 18 m/s / 12s
a = 1.5m/s^2
Substitute the given values of acceleration and time in the formula for distance.
d = ½ (1.5 m/s^2) (12s)^2
d = (0.75 m/s^2)(144 s^2)
The unit s^2 cancels.
d = 108 m
Final answer:
Distance traveled by the car = 108 m