Choppy Animation

I have the start of a simple game, but the movement of my character across the screen is slightly choppy. Also the mouth appears to curve also. My terminal says I have at least 60 FPS.
example What sort of improvements can I do to my below code which calculates the players position and draws them.

#include <iostream>
#include <math.h>
#include <algorithm>  
#include <sys/time.h>  

#include "util.h"
#include "player.h"
#include "constants.h"
#include "room.h"
#include "SOIL.h"

using namespace std;

player::player(room &tmproom){
  loaded=false;
  troom = tmproom;
  init();
}

void player::init(){
  p_acel = 0.000008;
  p_vterm = 0.0005;
  p_fric = 0.008;
  p_head = 0.08;
  p_body = 0.06;
  p_pos[0]=0.0;
  p_pos[1]=0.0;
  p_vel[0]=0.0;
  p_vel[1]=0.0;
  pt2=get_time();
  t2=get_time();
}

void player::moveplayer(){
    pt1=get_time();
    float dt=pt1-pt2;
    pt2=pt1;

    t1 = get_time();
    frames = frames + 1;
    if ((t1 - t2) > 1000.0)
    {
      cout << "FPS "<<frames << endl;
      t2 = t1;
      frames=0;
    }

    if(but[0]){//a
      p_vel[0] = p_vel[0] - 0.5*p_acel*dt*dt;   //apply acceleration
      if(p_vel[0] < -1*p_vterm) p_vel[0] = -1*p_vterm; //terminal v
    }
    if(but[1]){//w
      p_vel[1] = p_vel[1] + 0.5*p_acel*dt*dt;   //apply acceleration
      if(p_vel[1] > p_vterm) p_vel[1] = p_vterm; //terminal v
    }
    if(but[2]){//d
      p_vel[0] = p_vel[0] + 0.5*p_acel*dt*dt;   //apply acceleration
      if(p_vel[0] > p_vterm) p_vel[0] = p_vterm; //terminal v
    }
    if(but[3]){//s
      p_vel[1] = p_vel[1] - 0.5*p_acel*dt*dt;   //apply acceleration
      if(p_vel[1] < -1*p_vterm) p_vel[1] = -1*p_vterm; //terminal v
    }

    //normalize vector
    float mag = sqrt(p_vel[0]*p_vel[0] + p_vel[1]*p_vel[1]);
    if(mag > p_vterm){
      p_vel[0] = p_vterm*p_vel[0]/mag;
      p_vel[1] = p_vterm*p_vel[1]/mag;
    }

    // update positions
    p_pos[0] = p_pos[0] + p_vel[0]*dt;
    //check collisions
    solid_collide(true,false,dt);
    p_pos[1] = p_pos[1] + p_vel[1]*dt;
    //check collisions
    solid_collide(false,true,dt);
//    cout << t1 << " " << p_pos[0] << endl;


    //apply friction
//    p_vel[0] = p_vel[0] - copysign( p_fric*dt*dt,p_vel[0]);
//    p_vel[1] = p_vel[1] - copysign( p_fric*dt*dt,p_vel[1]);
    //kill small velocities
    if(fabs(p_vel[0]) < 0.9*p_acel*dt*dt) p_vel[0] = 0.0;
    if(fabs(p_vel[1]) < 0.9*p_acel*dt*dt) p_vel[1] = 0.0;
}

void player::drawplayer(){

   glLoadIdentity();
   if(!loaded){
      playerid[0] = SOIL_load_OGL_texture("../textures/player/head.tga",SOIL_LOAD_AUTO,SOIL_CREATE_NEW_ID,SOIL_FLAG_INVERT_Y);
      loaded=true;
   }


   glEnable(GL_TEXTURE_2D); 
   glEnable(GL_BLEND);
   glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA); 
   glBindTexture(GL_TEXTURE_2D, playerid[0]);
   glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MIN_FILTER, GL_LINEAR);
   glTexParameteri(GL_TEXTURE_2D, GL_TEXTURE_MAG_FILTER, GL_LINEAR);

   glTranslatef(p_pos[0], p_pos[1], 0.0f);
   glBegin(GL_TRIANGLES);
   // Head    
   //Lower Triangle
   glTexCoord2f(1.0f, 1.0f);
   glVertex3f(0.5*p_head,  0.5*p_head, 0.0f);//top right
   glTexCoord2f(1.0f, 0.0f);
   glVertex3f(0.5*p_head, -0.5*p_head, 0.0f);//bottom right
   glTexCoord2f(0.0f, 0.0f);
   glVertex3f(-0.5*p_head, -0.5*p_head, 0.0f);//bottom left
   //Upper Triangle
   glTexCoord2f(1.0f, 1.0f);
   glVertex3f(0.5*p_head,  0.5*p_head, 0.0f);//top right
   glTexCoord2f(0.0f, 1.0f);
   glVertex3f(-0.5*p_head, 0.5*p_head, 0.0f);//top left
   glTexCoord2f(0.0f, 0.0f);
   glVertex3f(-0.5*p_head, -0.5*p_head, 0.0f);//bottom left

   glDisable(GL_BLEND);
   glDisable(GL_TEXTURE_2D);

   // Body
   //Lower Triangle
   glVertex3f(0.5*p_body,  -0.5*p_head, 0.0f);//top right
   glVertex3f(0.5*p_body, -1*p_body-0.5*p_head, 0.0f);//bottom right
   glVertex3f(-0.5*p_body, -1*p_body-0.5*p_head, 0.0f);//bottom left
   //Upper Triangle
   glVertex3f(0.5*p_body,  -0.5*p_head, 0.0f);//top right
   glVertex3f(-0.5*p_body, -0.5*p_head, 0.0f);//top left
   glVertex3f(-0.5*p_body, -1*p_body-0.5*p_head, 0.0f);//bottom left
    
   glEnd();

}

void player::solid_collide(bool xcheck,bool ycheck,float dt){
   bool col=false;
   float inc = 0.125;
   float bx,by;  
   for(int i=0;i<9;i++){
     for(int j=0;j<16;j++){
       if(troom.room_map[0][i][j] > 19){ 
         bx = -1.0+j*inc+half*inc;
         by = 0.5625-i*inc-half*inc; 
         //if(abs(p_pos[0]-bx)*2.0 <= (p_head + inc) && abs(p_pos[1]-by)*2.0 <= (p_head + inc)) col = true;
         if(abs(p_pos[0]-bx)*2.0 <= (p_body + inc) && abs(p_pos[1]-half*p_head-half*p_body-by)*2.0 <= (p_body + inc)) col = true;
       }
     }
   }

   if(xcheck && col){
     p_pos[0] = p_pos[0] - p_vel[0]*dt;
     p_vel[0] = 0.0;
   }
   if(ycheck && col){
     p_pos[1] = p_pos[1] - p_vel[1]*dt;
     p_vel[1] = 0.0;
   }

}