A car traveling along a road begins accelerating with a constant acceleration of 1.5 m/s2 in the direction of motion. after traveling 392 m at this acceleration, its speed is 35 m/s. determine the speed of the car when it began accelerating.

Question

Physics

Marble

9 July, 10:34

A car traveling along a road begins accelerating with a constant acceleration of 1.5 m/s2 in the direction of motion. after traveling 392 m at this acceleration, its speed is 35 m/s. determine the speed of the car when it began accelerating.

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Grumpy · Answer 1

In relating the variables or the parameters that are given in this item, we can make use of the equation,

2ad = Vf² - Vi²

where a is the acceleration, d is the distance, Vf and Vi are the final and initial velocities, respectively. If we substitute the known values to the equation,

2 (1.5 m/s²) (392 m) = (35 m/s) ² - Vi²

The value of Vi from the equation is 7 m/s.