Question

A skier starts from rest and accelerates down a slope 2 at 23 m/s^2. How much time required for the skier to reach a speed of 9.3 m/a? NEED AN ANSWER show work
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Answer 1

The skier's speed at time t is

v = (23 m/s²) t

To reach a speed of 9.3 m/s, the skier would need

9.3 m/s = (23 m/s²) t

t = (9.3 m/s) / (23 m/s²)

t ≈ 0.404 s

Answer 2

The time required for the skier to reach given final speed is 0.404 seconds

Given the data in the question;

Since the skier starts from rest

• Initial velocity; $u = 0$

• Final velocity; $v = 9.3m/s$

• Acceleration; $a = 23m/s^2$

To determine how much time is required for the skier to reach the final speed, we us the First Equation of Motion:

$v = u +at$

Where v is the final velocity, u is the initial velocity, a is the acceleration and t is the time.

We substitute our given values into the equation;

$9.3m/s = 0 + ( 23m/s^2\ * t )\\\\t = \frac{9.3m/s}{23m/s^2} \\\\t = 0.404s$

Therefore, the time required for the skier to reach given final speed is 0.404 seconds

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