Question

QUESTION 4 An automobile traveling on a straight, level road at 25 km/hr speeds up to 70 km/hr in 20s. What was the magnitude of the auto's acceleration, in meters per second squared? 62m/sA2 6.2m/s 2 O62m/s 2 062m/sA2

Answer 1

The magnitude of the car's acceleration is 0.655 m/s².

Step-by-step explanation:

The magnitude of the car's acceleration can be found using the formula:

Acceleration = (Final Velocity - Initial Velocity) / Time

Given that the car's initial velocity is 25 km/hr and final velocity is 70 km/hr, we need to convert these values to m/s:

Initial Velocity = 25 km/hr * (1000 m/1 km) / (3600 s/1 hr) = 6.94 m/s

Final Velocity = 70 km/hr * (1000 m/1 km) / (3600 s/1 hr) = 19.44 m/s

Plugging these values into the formula, we have:

Acceleration = (19.44 m/s - 6.94 m/s) / 20 s = 0.655 m/s²

Therefore, the magnitude of the car's acceleration is 0.655 m/s².

1

Answer 2

Acceleration an automobile is
`0.62 m/s^2`.

Step-by-step explanation:

Acceleration is defined as a rate of change of velocity with respect to to change in time.

`a=(dv)/(dt)`

Given that automobile moving straight in the line changes its speed from 25 km/hr to 70 km.hr in 20 seconds.

Change in velocity = 70 km/hr - 25 km/hr = 45 km/hr

1 km = 1000 m , 1 hour = 3600 seconds

`45 km/hr=(45* 1000m)/(3600s)=12.5 m/s`

Duration of time = 20 seconds =

Acceleration an automobile:

`a=(12.5 m/s)/(20 s)=0.625 m/s^2\approx 0.62 m/s^2`