Simple Pendulum Time and Velocity Calculations: Equations and Solutions

[IB1]

Homework Statement

1. A long pendulum has time period 10s. If the bob is displaced 2m from the equilibrum position and released, how long will it take to move 1m ?

2. As a mass on a spring travels upwards through the equilibrium position, its velocity is 0.5m/s. If the frequency of the pendulum is 1Hz what will be the velocity of the bob after 0.5s ?

Homework Equations

$$v=-v_{o}\sin{\omega t}$$
$$x=x_{o}\cos{\omega t}$$

The Attempt at a Solution

I've tried to use the formulas above, but it didn't work for me. These questions are supposed to be easy.

 

[Redbelly98]

For #1, use your equation x=x₀cos(ωt).
Just plug in the values for x, x₀, and ω. Then solve it for t.
(You will need to figure out the value of ω first.)