A bicycle starts from rest with a constant acceleration 1 m/s^2. After 5 seconds of having...

A bicycle starts from rest with a constant acceleration 1 m/s^2. After 5 seconds of having started its movement, the brake pin of one of its handlebars, located 5 meters from the ground, is detached. What is the horizontal distance the plug travels from when it comes off until it falls to the ground?

Note: Approximate result with only one decimal place

Solutions

Expert Solution

The bicycle is moving at constant acceleration. The velocity of the bicycle after 5 seconds is given by

Given the bicycle started from rest

Brake pin being part of the cycle was traveling at the same speed as the bicycle. The brake pin was traveling at 5m/s in the horizontal direction at 5 seconds after the start. It follows projectile motion after it was detached from the bicycle with initial velocity

The initial vertical velocity of the pin was zero. The vertical acceleration of the pin is . Since the vertical acceleration is constant the vertical motion is governed by the kinematics equations for uniformly accelerated motion. The pin covers 5m distance before reaching the ground.

The pin reaches the ground in 1.01 seconds. the acceleration of the pin in the horizontal direction is zero. The horizontal velocity of the pin is constant.

The horizontal distance covered by the pin in 1.01 seconds is

genius_generous answered 1 week ago

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