A Car accelerates from rest to 90km/h in 10 seconds.what is its acceleration in m/s squere?
90 kph = 1.5 km/min = 1500 m/min = 25 m/s
okay ... (25 m/s) / 10 s = 2.5 m/s^2
90km/h = 90,000m/3600s = 25m/s.
V = Vo+aT= 25
0+10a = 25
a = 2.5m/s^2.
To find the acceleration of the car in meters per second squared (m/s²), we need to convert the speed from kilometers per hour (km/h) to meters per second (m/s) and also divide it by the time taken.
Here's the step-by-step process to calculate the acceleration:
Step 1: Convert the speed from km/h to m/s:
To convert km/h to m/s, we use the conversion factor 1 km/h = 0.2778 m/s.
Speed in m/s = 90 km/h * (0.2778 m/s / 1 km/h) = 25 m/s
Step 2: Calculate the acceleration:
Acceleration is the change in velocity divided by time.
Acceleration (in m/s²) = Change in velocity (in m/s) / Time (in seconds)
Change in velocity = Final velocity - Initial velocity
Since the car starts from rest, the initial velocity is 0 m/s.
Change in velocity = 25 m/s - 0 m/s = 25 m/s
Time = 10 seconds
Acceleration = 25 m/s / 10 s = 2.5 m/s²
Therefore, the acceleration of the car is 2.5 m/s².