Subject: Physics 0 Likes
A car is traveling at 65 km/hr. The brakes are applied and the car
A car is traveling at 65 km/hr. The brakes are applied and the car stops in 3 seconds.
What is the car’s acceleration?
Alternatives
A) -5.5 m/s²
B) -6.02 m/s²
C) -7.5 m/s²
D) -8.5 m/s²
E) -9.5 m/s²
Solution
Correct answer: B) -6.02 m/s².
To find the acceleration, we can use the formula:
Acceleration (a) = Δv / Δt
where Δv is the change in velocity (in this case, from 65 km/hr to 0 km/hr, since the car comes to a complete stop) and Δt is the time it takes to stop (3 seconds).
First, let's convert the initial velocity from km/hr to m/s:
65 km/hr = 65,000 m / 3600 s = 18.06 m/s (approximately)
Now, we can find the change in velocity:
Δv = 18.06 m/s - 0 m/s = -18.06 m/s (since the velocity decreases from 18.06 m/s to 0 m/s)
Now, plug in the values:
a = Δv / Δt = -18.06 m/s / 3 s = -6.02 m/s²
So, the car's acceleration is approximately -6.02 m/s². The negative sign indicates that the acceleration is in the opposite direction of the initial velocity, which makes sense since the car is slowing down.
Subject: Physics
Related topics: Kinematics, Dynamics