diff --git a/front/src/applications/operationalStudies/views/v2/SimulationResultsV2.tsx b/front/src/applications/operationalStudies/views/v2/SimulationResultsV2.tsx
index e929c614815..6dd6a34c57e 100644
--- a/front/src/applications/operationalStudies/views/v2/SimulationResultsV2.tsx
+++ b/front/src/applications/operationalStudies/views/v2/SimulationResultsV2.tsx
@@ -241,7 +241,7 @@ const SimulationResultsV2 = ({
               setExtViewport={setExtViewport}
               geometry={pathProperties?.geometry}
               trainSimulation={
-                selectedTrain && selectedTrainRollingStock && trainSimulation
+                selectedTrain && trainSimulation
                   ? {
                       ...trainSimulation,
                       trainId: selectedTrain.id,
diff --git a/front/src/common/Map/components/TrainOnMap/getTrainBody.ts b/front/src/common/Map/components/TrainOnMap/getTrainBody.ts
index d1f5cc71c8c..46917b63c19 100644
--- a/front/src/common/Map/components/TrainOnMap/getTrainBody.ts
+++ b/front/src/common/Map/components/TrainOnMap/getTrainBody.ts
@@ -60,11 +60,8 @@ const getTriangleSideDimensions = (zoomLengthFactor: number, size = 2) => {
     down: 0.02,
   };
   const tail = {
-    left: 0.05,
-    right: 0.05,
+    ...head,
     up: 0.05,
-    upWidth: 0.019,
-    down: 0.02,
   };
   return {
     head: mapValues(head, scaleNumber),
diff --git a/front/src/modules/simulationResult/components/SpeedSpaceChart/useSpeedSpaceChart.ts b/front/src/modules/simulationResult/components/SpeedSpaceChart/useSpeedSpaceChart.ts
index 3927edc6fda..1446462fd6d 100644
--- a/front/src/modules/simulationResult/components/SpeedSpaceChart/useSpeedSpaceChart.ts
+++ b/front/src/modules/simulationResult/components/SpeedSpaceChart/useSpeedSpaceChart.ts
@@ -89,7 +89,7 @@ const useSpeedSpaceChart = (
   return trainScheduleResult &&
     rollingStock &&
     formattedPowerRestrictions &&
-    simulation &&
+    simulation?.status === 'success' &&
     formattedPathProperties &&
     departureTime
     ? {
diff --git a/front/src/modules/simulationResult/components/TimeButtons.tsx b/front/src/modules/simulationResult/components/TimeButtons.tsx
index 61eb87dc295..87c0d9b99be 100644
--- a/front/src/modules/simulationResult/components/TimeButtons.tsx
+++ b/front/src/modules/simulationResult/components/TimeButtons.tsx
@@ -1,10 +1,10 @@
 import React, { useState } from 'react';
 
-import dayjs from 'dayjs';
 import { useTranslation } from 'react-i18next';
 import { FaBackward, FaPause, FaPlay, FaStop } from 'react-icons/fa';
 import { useSelector } from 'react-redux';
 
+import { convertDepartureTimeIntoSec } from 'applications/operationalStudies/utils';
 import type { SimulationReport } from 'common/api/osrdEditoastApi';
 import InputSNCF from 'common/BootstrapSNCF/InputSNCF';
 import { updateIsPlaying } from 'reducers/osrdsimulation/actions';
@@ -58,7 +58,8 @@ const TimeButtons = ({ selectedTrain, departureTime }: TimeButtonsProps) => {
     clearInterval(playInterval);
     setPlayInterval(undefined);
     if (trainScheduleV2Activated) {
-      if (departureTime) updateTimePositionV2(dayjs(departureTime, 'D/MM/YYYY HH:mm:ss').toDate());
+      if (departureTime)
+        updateTimePositionV2(sec2datetime(convertDepartureTimeIntoSec(departureTime)));
     } else if (selectedTrain) {
       updateTimePosition(sec2datetime(selectedTrain.base.stops[0].time));
     }
diff --git a/front/src/utils/date.ts b/front/src/utils/date.ts
index 79600de1b6f..0c399c75d1b 100644
--- a/front/src/utils/date.ts
+++ b/front/src/utils/date.ts
@@ -116,7 +116,7 @@ export const formatDateToString = (date: Date) => {
 
 /** check whether a date is included in the range or not */
 export function dateIsInRange(date: Date, range: [Date, Date]) {
-  return date > range[0] && date < range[1];
+  return range[0] <= date && date <= range[1];
 }
 
 export const formatDateForInput = (date?: string | null) => (date ? date.substring(0, 10) : '');