a car is moving at 80km/hr and slows down to 13km/hr in 9.75 seconds. Calculate the car's acceleration
Formula for acceleration= Final speed-Initial/Time
Vo = 80km/h = 80000m/3600s. = 22.22 m/s.
V = 13km/h = 13000m/3600s. = 3.61 m/s.
a = (V-Vo)/t
To calculate the car's acceleration, we need to use the formula: acceleration = (final speed - initial speed) / time.
Given:
Initial speed (u) = 80 km/hr
Final speed (v) = 13 km/hr
Time taken (t) = 9.75 seconds
Step 1: Convert the initial and final speeds from km/hr to m/s.
To convert km/hr to m/s, we divide by 3.6.
Initial speed in m/s = 80 km/hr / 3.6 = 22.22 m/s
Final speed in m/s = 13 km/hr / 3.6 = 3.61 m/s
Step 2: Substitute the values into the formula and calculate the acceleration.
Acceleration = (3.61 m/s - 22.22 m/s) / 9.75 seconds
Simplify the calculation:
Acceleration = -18.61 m/s / 9.75 s
Acceleration ≈ -1.907 m/s²
Therefore, the car's acceleration is approximately -1.907 m/s². Note that the negative sign indicates that the car is decelerating or slowing down.