A car advertisement states that a certain car can accelerate from rest to 70 km/h in 7 seconds.

Find the car’s acceleration in m/s².

Acceleration is defined as change in velocity divided by time duration.
70 kmph = 70 * 1000 meter / 3600 sec = 175/9 meter / sec
Acceleration = [ 175/9 - 0 ] m/sec / 7 sec *** = 175 / (9 * 7) = 25/9 m/sec² *** = 2.77 meters/ sec²

Answered by Everest2017 | 2024-06-10

The **rate **of change of an object's velocity with **respect **to **time **is defined as acceleration. The **car’s **acceleration in m/s is 2.7778 m/sec².
What is acceleration?
The **rate **of change of an object's velocity with **respect **to **time **is defined as acceleration. Vector **quantities **are accelerations. The orientation of an **object's **acceleration is determined by the orientation of its net force.
Acceleration = (Final Velocity - Initial Velocity)/ Time taken
Given that car can **accelerate **from rest to 70km/h in 7 seconds. Therefore, we can write,
**Initial **Velocity = 0 m/sec
Final Velocity = 70 km/hr = 70×(5/18) m/sec = 19.444 m/sec
Time taken = 7 seconds
Now, the car’s **acceleration **in m/s can be written as,
Acceleration = (Final Velocity - Initial Velocity )/ Time taken
= (19.444 m/sec - 0 m/sec)/7 seconds
= 2.7778 m/sec²
Hence, the **car’s **acceleration in m/s is 2.7778 m/sec².
Learn more about **Acceleration **here:
https://brainly.com/question/12550364
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Answered by ap8997154 | 2024-06-16

The car's acceleration from rest to 70 km/h in 7 seconds is found to be approximately 2.778 m/s². This is calculated using the formula for acceleration, which involves the change in velocity over time. The final speed is converted from km/h to m/s for accurate calculation.
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Answered by ap8997154 | 2024-09-30