Question

A roller coaster speeds up with constant acceleration for 2.3 s until it reaches a velocity of 35 m/s. During this time, the roller coaster travels 41m. What is the initial velocity of the roller coaster before it begins to accelerate?

Answer 1

The initial velocity is 0.65 m/s

Explanation:

The motion of the roller coaster is a uniformly accelerated motion, so we can solve the problem by using the following suvat equation:

$s=(\frac{u+v}{2})t$

where

s is the displacement

u is the initial velocity

v is the final velocity

t is the time

For the roller coaster in this problem:

v = 35 m/s

t = 2.3 s

s = 41 m

Solving the equation for u, we find the initial velocity:

$u=\frac{2s}{t}-v=\frac{2(41)}{2.3}-35=0.65 m/s$

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