What is the acceleration of a car going from 3.0 x 101 km/hr to 1.20 x 102 km/hr in 3.0 x 101 sec?

Well, let's see here. The car went from a snail's pace of 3.0 x 10^1 km/hr to a mighty 1.20 x 10^2 km/hr in a whopping 3.0 x 10^1 sec. To calculate acceleration, you can use the formula:

acceleration = (final velocity - initial velocity) / time

Plugging in the numbers, we have:

acceleration = (1.20 x 10^2 km/hr - 3.0 x 10^1 km/hr) / (3.0 x 10^1 sec)

Now, I'll let you do the fun math part. Just remember to convert the velocities to meters per second, and you'll get your answer. Happy calculating!

To find the acceleration, we can use the formula:

acceleration = (change in velocity) / (change in time)

Given:
Initial velocity (u) = 3.0 x 10^1 km/hr
Final velocity (v) = 1.20 x 10^2 km/hr
Time (t) = 3.0 x 10^1 sec

First, we need to convert the velocities from km/hr to m/s, as acceleration is typically expressed in m/s^2.

1 km/hr = 1000 m / 3600 s = 5/18 m/s

Initial velocity (u) = 3.0 x 10^1 km/hr * (5/18 m/s/km/hr) = 25/6 m/s
Final velocity (v) = 1.20 x 10^2 km/hr * (5/18 m/s/km/hr) = 50/3 m/s

Now, let's calculate the change in velocity:

Change in velocity = final velocity - initial velocity
= (50/3 m/s) - (25/6 m/s)
= (100 - 25) / 6
= 75/6 m/s
= 25/2 m/s

Next, we can calculate the acceleration:

Acceleration = change in velocity / change in time
= (25/2 m/s) / (3.0 x 10^1 sec)
= (25/2) / (3.0 x 10^1) m/s^2
= (25/2) / (30) m/s^2
= 5/12 m/s^2

Therefore, the acceleration of the car is 5/12 m/s^2.

To find the acceleration of the car, we can use the formula:

Acceleration = (Change in velocity) / (Change in time)

First, we need to convert the velocities from km/hr to m/s, since the SI unit for acceleration is meters per second squared (m/s^2):

Initial velocity (v1) = 3.0 x 10^1 km/hr
Final velocity (v2) = 1.20 x 10^2 km/hr

To convert km/hr to m/s, we can use the conversion factor:
1 km/hr = (1/3.6) m/s

So, both the initial and final velocities can be converted as follows:

v1 = (3.0 x 10^1 km/hr) x (1/3.6) m/s = 8.33 m/s
v2 = (1.20 x 10^2 km/hr) x (1/3.6) m/s = 33.33 m/s

Next, we need to calculate the change in velocity:

Change in velocity (Δv) = v2 - v1
= 33.33 m/s - 8.33 m/s
= 25 m/s

Finally, we can calculate the acceleration using the formula:

Acceleration = Δv / Δt

where Δt is the change in time:

Δt = 3.0 x 10^1 sec

Plugging in the values:

Acceleration = (25 m/s) / (3.0 x 10^1 sec)
= 0.83 m/s^2

Therefore, the acceleration of the car is 0.83 m/s^2.

It depends on the units you want. If you want acceleration in m/s^2, you have to change both speeds to m/s^2

acceleration= (vf-vi)/time