Question

A meteoroid changed velocity from 1.0 km/s to 1.8km/s in 0.03 seconds. What is the acceleration of the meteoroid? 14.

Answer 1

$\huge\tt{Answer:-}$

$\bf{Given:-}$

• Initial Velocity $(u)$ = $1 \ km \ {s}^{-1}$.
• Final Velocity $(v)$ = $1.8 \ km \ {s}^{-1}$.
• Time taken $(t)$ = $0.03 \ s$.

$\bf{To \ Find:-}$

Acceleration of the Meteoroid.

__________________...

We Know,

1 km = 1,000 m

∴ 1 km = 1 • 1,000m = 1,000m

& 1.8 km = 1.8 • 1,000m = 1,800m

We know,

We know, Acceleration = (Final Velocity - Initial Velocity)/(Time taken)

Or,

$a = \frac{(v-u)}{t}$

Putting the values,

$a = \frac{1.8\ km \ {s}^{-1} - 1 \ km \ {s}^{-1}}{0.03 \ s}$

$\implies a = \frac{1,800 \ m \ {s}^{-1} - 1,000 \ m \ {s}^{-1}}{0.03 \ s}$

$\implies a = \frac{800 \ m \ {s}^{-1}}{0.03 \ s}$

$\implies a = \frac{800 \ m}{\frac{3}{100}} {s}^{-2}$

$\implies a = 800 \ m \ {s}^{-2} \cdot \frac{100}{3}$

$\implies a ≈ 800 \ m \ {s}^{-2} \cdot 33.3$

$\implies a ≈ 26,640 \ m \ {s}^{-2}$

$\implies a ≈ 26.64 \ km \ {s}^{-2}$ $...(Ans.)$

Answer 2

Answer: 26.7 k/s  

Explanation: