- Differentiate the displacement equation (s) to get the velocity equation (v).
- Use the velocity equation found in (1). Substitute t=0 and the A value found in (1). The reason we substitute t=0 is because the question wants us to find initial velocity or the velocity when the timer started counting.
- When the particle first comes to instantaneous rest, equate the velocity equation to 0, find for t. There are a few answers for t, take the first answer. Substitute the answer into the displacement equation to find the displacement when v=0 for the first time. Please check if the initial displacement is 0 i.e. s=0 when t=0. If you do not check, you will get the wrong distance. For this question when we substitute t=0 into the displacement equation (s) we got s = 6.9282 m. In this case, you will need to add 6.9282m to the displacement of s=-8m when t=2.5s to get the distance.

Additional Math (A-Math) amath Small Group Tuition. for a-amath students living in Woodlands, Choa Chu Kang, Yew Tee, Yishun and Sembawang