Physics: A blue shark accelerates at a rate of 16m/s for a time of 0.8s. During this time it travels a distance of 11.52m. Calculate its initial speed.

The potential energy is zero since the rock isn t moving....

A blue shark accelerates at a rate of 16m/s for - id167962483, carolinagarciap8kgmi

Ответ:

natiem1803

03.02.2022

The initial velocity of this shark is $8.0\; \rm m \cdot s^{-1}$ . (Assuming that the unit of the acceleration in this question is $\rm m\cdot s^{-2}$ .)

Explanation:

Let denote the acceleration of this shark.

Let v_0 denote the initial velocity of this shark.

Assume that the acceleration of this shark is constant (as it is in this question.) Over a period of time , the shark would have travelled a distance of:

$\displaystyle x = \frac{1}{2}\, a\, t^2 + v_0\, t$ .

This question states that:

$x = 11.52\; \rm m$ , $t = 0.8\; \rm s$ . (That is: this shark travelled a distance of $11.52\; \rm m$ in $0.8\; \rm s$ .) $a = 16\; \rm m \cdot s^{-2}$ (the acceleration of this shark is indeed a constant.)

This question is asking for v_0 , the initial velocity of this shark at the beginning of this 0.8 -second period. Substitute the three known values into the equation:

$\displaystyle 11.52 = \frac{1}{2}\times 16\times (0.8)^2 + 0.8\, v_0$ .

Solve for v_0 :

$v_0 = \displaystyle \frac{11.52 - (1/2) \times 16 \times (0.8)^2}{0.8} = 8.0\; \rm m \cdot s^{-1}$ .

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A blue shark accelerates at a rate of 16m/s for a time of 0.8s. During this time it travels a distance of 11.52m. Calculate its initial speed.

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