If a=8i+j-2k and b=5i-3j+k show that b*a=5i+18j+29k

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Ответ:

nmadrigal

05.09.2020

Physics

Approximately $35.2\; \rm m$ .

Explanation:

Given:

Initial velocity: $u = 13\; \rm m \cdot s^{-1}$ .

Acceleration: $a = -2.40\; \rm m \cdot s^{-2}$ (negative because the car is slowing down.)

Implied:

Final velocity: $v = 0\; \rm m \cdot s^{-1}$ (because the car would come to a stop.)

Required:

Displacement, .

Not required:

Time taken, .

Because the time taken for this car to come to a full stop is not required, apply the SUVAT equation that does not involve time:

$\begin{aligned} x &= \frac{v^2 - u^2}{2\, a} \\ &= \frac{{\left(0\; \rm m \cdot s^{-1}\right)}^2 - {\left(13\; \rm m \cdot s^{-1}\right)}^2}{2\times \left(-2.40\; \rm m\cdot s^{-2}\right)} \approx 35.2\; \rm m \end{aligned}$ .

In other words, this car would travel approximately $35.2\; \rm m$ before coming to a stop.

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